Interesting Duality Research Articles

Hypercomplex operator calculus for the fractional Helmholtz equation

In this paper, we develop a hypercomplex operator calculus to treat fully analytically boundary value problems for the homogeneous and inhomogeneous fractional Helmholtz equation where fractional derivatives in the sense of Caputo and Riemann–Liouville are applied. Our method extends the recently proposed fractional reduced differential transform method (FRDTM) by using fractional derivatives in all directions. For the special separable case in three dimensions, we obtain completely explicit representations for the fundamental solution. This allows us to interpret and to understand the appearance of spatial steady‐state solutions or spatial blow‐ups of the fractional Helmholtz equation in a better way. More precisely, we were able to present explicit conditions for the parameters in the representation formulas of the fundamental solutions under which we obtain bounded or spatial decreasing steady‐solutions and when spatial blow‐ups occur. We also illustrate this with some representative numerical examples. Furthermore, we show that it is possible to recover the recently studied cases as well as the classical cases as particular limit cases within our more general setting. Using the hypercomplex operator approach also allows us to factorize the fractional Helmholtz operator and obtain some interesting duality relations between left and right derivatives, Caputo and Riemann–Liouville derivatives, and eigensolutions of antipodal eigenvalues in terms of a generalized Borel–Pompeiu formula. This factorization, in turn, allows us to tackle inhomogeneous fractional Helmholtz problems.

Weyl quadratic gravity as a gauge theory and non-metricity vs torsion duality

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation, generates Einstein gravity in its spontaneously broken phase and is anomaly-free, is that of Weyl gauge symmetry (of dilatations). Gauging the full conformal group does not generate a true gauge theory of physical (dynamical) associated gauge bosons. Regarding the Weyl gauge symmetry, it is naturally realised in Weyl conformal geometry, where it admits two different but equivalent geometric formulations, of same quadratic action: one non-metric but torsion-free, the other Weyl gauge-covariant and metric (with respect to a new differential operator). To clarify the origin of this intriguing result, a third equivalent formulation of this gauge symmetry is constructed using the standard, modern approach on the tangent space (uplifted to space-time by the vielbein), which is metric but has vectorial torsion. This shows an interesting duality vectorial non-metricity vs vectorial torsion of the corresponding formulations, related by a projective transformation. We comment on the physical meaning of these results.

A duality between vertex superalgebras [formula omitted] and [formula omitted] and generalizations to logarithmic vertex algebras

We introduce a certain subalgebra F‾ of the Clifford vertex superalgebra (bc system), which is completely reducible (as a LVir(−2,0)–module) and C2–cofinite, but not conformal (and not isomorphic to the symplectic fermion algebra SF(1)). We show that there is an interesting duality between SF(1) and F‾, given by the fact that F‾ can be equipped with the structure of a SF(1)–module and vice versa.Using the decomposition of F‾ and a free-field realization from [3], we decompose Lk(osp(1|2)) at the critical level k=−3/2 as a module for Lk(sl(2)). The decomposition of Lk(osp(1|2)) is exactly the same as that of the N=4 superconformal vertex algebra with central charge c=−9, denoted by V(2). Using the duality between F‾ and SF(1), we prove that Lk(osp(1|2)) and V(2) are in a duality of the same type. As an application, we construct and classify all irreducible Lk(osp(1|2))–modules in the category O and the category R, which includes relaxed highest weight modules. We also describe the structure of the parafermion algebra N−3/2(osp(1|2)) as a N−3/2(sl(2))–module.Extending this example, we introduce for each p≥2 a non-conformal vertex algebra Anew(p) and show that Anew(p) is isomorphic to the doublet vertex algebra as a module for the Virasoro algebra. We also construct the vertex algebra Vnew(p), which is isomorphic to the logarithmic vertex algebra V(p) as a module for slˆ(2).We also conjecture the existence of the conformal vertex algebra V(sp(2n)) which is in a duality with the affine vertex algebra L−n−1/2(osp(1|2n)).

Rigorous index theory for one-dimensional interacting topological insulators

We present a rigorous but elementary index theory for a class of one-dimensional systems of interacting (and possibly disordered) fermions with U(1)⋊Z2 symmetry defined on the infinite chain. The class includes the Su–Schrieffer–Heeger (SSH) model [Su et al., “Solitons in polyacetylene,” Phys. Rev. Lett. 42, 1698 (1979); Su et al., “Soliton excitations in polyacetylene,” Phys. Rev. B 22, 2099 (1983); and Asbóth et al., A Short Course on Topological Insulators: Band-Structure Topology and Edge States in One and Two Dimensions, Lecture Notes in Physics (Springer, 2016)] as a special case. For any locally unique gapped (fixed-charge) ground state of a model in the class, we define a Z2 index in terms of the sign of the expectation value of the local twist operator. We prove that the index is topological in the sense that it is invariant under continuous modification of models in the class with a locally unique (fixed-charge) gapped ground state. This establishes that any path of models in the class that connects the two extreme cases of the SSH model must go through a phase transition. Our rigorous Z2 classification is believed to be optimal for the class of models considered here. We also show an interesting duality of the index and prove that any topologically nontrivial model in the class has a gapless edge excitation above the ground state when defined on the half-infinite chain. The results extend to other classes of models, including the extended Hubbard model. Our strategy to focus on the expectation value of local unitary operators makes the theory intuitive and conceptually simple. This paper also contains a careful discussion about the notion of unique gapped ground states of a particle system on the infinite chain. (There are two lecture videos in which the main results of this paper are discussed [H. Tasaki, “Rigorous index theory for one-dimensional interacting topological insulators: A brief introduction,” online lecture (21:41), November, 2021, seehttps://www.gakushuin.ac.jp/~881791/OL/#Index1DTI2021S and https://youtu.be/ypGVb3eYrpg and H. Tasaki, “Rigorous index theory for one-dimensional interacting topological insulators: With a pedagogical introduction to the topological phase transition in the SSH model,” online lecture (49:07), November, 2021, see https://www.gakushuin.ac.jp/~881791/OL/#Index1DTI2021L and https://youtu.be/yxZYOevV2Y].

Duality Between Source Coding With Quantum Side Information and Classical-Quantum Channel Coding

In this paper, we establish an interesting duality between two different quantum information-processing tasks, namely, classical source coding with quantum side information, and channel coding over classical-quantum channels. The duality relates the optimal error exponents of these two tasks, generalizing the classical results of Ahlswede and Dueck [ <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">IEEE Trans. Inf. Theory</i> , 28(3):430–443, 1982]. We establish duality both at the operational level and at the level of the entropic quantities characterizing these exponents. For the latter, the duality is given by an exact relation, whereas for the former, duality manifests itself in the following sense: an optimal coding strategy for one task can be used to construct an optimal coding strategy for the other task. Along the way, we derive a bound on the error exponent for classical-quantum channel coding with constant composition codes which might be of independent interest. Finally, we consider the task of variable-length classical compression with quantum side information, and a duality relation between this task and classical-quantum channel coding can also be established correspondingly. Furthermore, we study the strong converse of this task, and show that the strong converse property does not hold even in the i.i.d. scenario.

A balancing act: interactions within NuA4/TIP60 regulate picNuA4 function in Saccharomyces cerevisiae and humans.

The NuA4 lysine acetyltransferase complex acetylates histone and nonhistone proteins and functions in transcription regulation, cell cycle progression, and DNA repair. NuA4 harbors an interesting duality in that its catalytic module can function independently and distinctly as picNuA4. At the molecular level, picNuA4 anchors to its bigger brother via physical interactions between the C-terminus of Epl1 and the HSA domain of Eaf1, the NuA4 central scaffolding subunit. This is reflected at the regulatory level, as picNuA4 can be liberated genetically from NuA4 by disrupting the Epl1-Eaf1 interaction. As such, removal of either Eaf1 or the Epl1 C-terminus offers a unique opportunity to elucidate the contributions of Eaf1 and Epl1 to NuA4 biology and in turn their roles in balancing picNuA4 and NuA4 activities. Using high-throughput genetic and gene expression profiling, and targeted functional assays to compare eaf1Δ and epl1-CΔ mutants, we found that EAF1 and EPL1 had both overlapping and distinct roles. Strikingly, loss of EAF1 or its HSA domain led to a significant decrease in the amount of picNuA4, while loss of the Epl1 C-terminus increased picNuA4 levels, suggesting starkly opposing effects on picNuA4 regulation. The eaf1Δ epl1-CΔ double mutants resembled the epl1-CΔ single mutants, indicating that Eaf1's role in picNuA4 regulation depended on the Epl1 C-terminus. Key aspects of this regulation were evolutionarily conserved, as truncating an Epl1 homolog in human cells increased the levels of other picNuA4 subunits. Our findings suggested a model in which distinct aspects of the Epl1-Eaf1 interaction regulated picNuA4 amount and activity.

The Physician on a Board of Directors: Bane or Benefit?

With the accelerated development of innovative domains such as artificial intelligence, big data, and personalized healthcare, the continuing growth of health-tech and bio-tech industries is to be expected. Concurrently, the question of the extent and nature of physicians’ involvement in these rapidly evolving industries arises, especially in management and leadership capacities such as directors or chief executive officers of such companies. Against this backdrop, the Israeli Medical Association recently launched a first-of-its-kind course designed to train senior physicians as directors in health-tech companies by providing them with vast relevant financial, legislative, and professional proficiencies. Due to their medical knowledge and clinical experience, physicians bring a substantial added value to these industries. However, considering the inherent tensions and potential conflicts between adhering to the logic of a profit-making, competitive market on one hand and maintaining the doctor’s oath on the other, it is inevitable that dilemmas and difficulties will emerge. Much has been written about the roles and responsibilities of boards of directors, but to date, little has focused on the unique position of physicians who serve in these roles. This article aims to examine the ways in which conflicts or dualities of interest manifest themselves for physicians who assume roles as directors and whether effective remedial strategies are available, based on the authors’ own experience in the initiation of the IMA physician-directors course.

Intersecting defects and supergroup gauge theory

We consider 5d supersymmetric gauge theories with unitary groups in the Ω-background and study codim-2/4 BPS defects supported on orthogonal planes intersecting at the origin along a circle. The intersecting defects arise upon implementing the most generic Higgsing (geometric transition) to the parent higher dimensional theory, and they are described by pairs of 3d supersymmetric gauge theories with unitary groups interacting through 1d matter at the intersection. We explore the relations between instanton and generalized vortex calculus, pointing out a duality between intersecting defects subject to the Ω-background and a deformation of supergroup gauge theories, the exact supergroup point being achieved in the self-dual or unrefined limit. Embedding our setup into refined topological strings and in the simplest case when the parent 5d theory is Abelian, we are able to identify the supergroup theory dual to the intersecting defects as the supergroup version of refined Chern–Simons theory via open/closed duality. We also discuss the BPS/CFT side of the correspondence, finding an interesting large rank duality with super-instanton counting.

Population imbalance for a family of one-dimensional incommensurate models with mobility edges

In this paper, we look at four generalizations of the one dimensional Aubry-Andre-Harper (AAH) model which possess mobility edges. We map out a phase diagram in terms of population imbalance, and look at the system size dependence of the steady state imbalance. We find non-monotonic behaviour of imbalance with system parameters, which contradicts the idea that the relaxation of an initial imbalance is fixed only by the ratio of number of extended states to number of localized states. We propose that there exists dimensionless parameters, which depend on the fraction of single particle localized states, single particle extended states and the mean participation ratio of these states. These ingredients fully control the imbalance in the long time limit and we present numerical evidence of this claim. Among the four models considered, three of them have interesting duality relations and their location of mobility edges are known. One of the models (next nearest neighbour coupling) has no known duality but mobility edge exists and the model has been experimentally realized. Our findings are an important step forward to understanding non-equilibrium phenomena in a family of interesting models with incommensurate potentials.

Ehresmann theory and partition monoids

This article concerns Ehresmann structures in the partition monoid PX. Since PX contains the symmetric and dual symmetric inverse monoids on the same base set X, it naturally contains the semilattices of idempotents of both submonoids. We show that one of these semilattices leads to an Ehresmann structure on PX while the other does not. We explore some consequences of this (structural/combinatorial and representation theoretic), and in particular characterise the largest left-, right- and two-sided restriction submonoids. The new results are contrasted with known results concerning relation monoids, and a number of interesting dualities arise, stemming from the traditional philosophies of inverse semigroups as models of partial symmetries (Vagner and Preston) or block symmetries (FitzGerald and Leech): “surjections between subsets” for relations become “injections between quotients” for partitions. We also consider some related diagram monoids, including rook partition monoids, and state several open problems.

Mesocarnivore community structuring in the presence of Africa's apex predator.

Apex predator reintroductions have proliferated across southern Africa, yet their ecological effects and proposed umbrella benefits of associated management lack empirical evaluations. Despite a rich theory on top-down ecosystem regulation via mesopredator suppression, a knowledge gap exists relating to the influence of lions (Panthera leo) over Africa's diverse mesocarnivore (less than 20 kg) communities. We investigate how geographical variation in mesocarnivore community richness and occupancy across South African reserves is associated with the presence of lions. An interesting duality emerged: lion reserves held more mesocarnivore-rich communities, yet mesocarnivore occupancy rates and evenness-weighted diversity were lower in the presence of lions. Human population density in the reserve surroundings had a similarly ubiquitous negative effect on mesocarnivore occupancy. The positive association between species richness and lion presence corroborated the umbrella species concept but translated into small differences in community size. Distributional contractions of mesocarnivore species within lion reserves, and potentially corresponding numerical reductions, suggest within-community mesopredator suppression by lions, probably as a result of lethal encounters and responses to a landscape of fear. Our findings offer empirical support for the theoretical understanding of processes underpinning carnivore community assembly and are of conservation relevance under current large-predator orientated management and conservation paradigms.

К ВОПРОСУ ОБ ОСОБЕННОСТЯХ ФОРМИРОВАНИЯ РАСПРОСТРАНЕНИЯ И ТРАНСЛЯЦИИ ПАМЯТИ В СЕТЕВОМ ПРОСТРАНСТВЕ

The article analyzes the main approaches in Russian and foreign literature in the study of the formation and functioning of memory in networks. The duality of interest in the topic of memory is noted. It is shown that, on the one hand, the network space opens up new perspectives for creating and distributing memory. Thus, digital technologies allow the creation, processing, storage and dissemination of information on a historically unprecedented scale, and many people with a wide variety of values, interests and expectations gain access to this information. Consumers may have alternative sources of information and need not use official archives. They can reproduce their personal historical experience by publishing family archives, articulating their own impressions of the past. Consumers get the opportunity for an individualized interpretation of the material. No wonder, many researchers mark the concept “prosumer” as blurring the lines between the consumer and the content producer. As a result, the formation of multidirectional memory and its decentralization are noted. Researchers highlight the abundance, ubiquity and responsiveness of digital media. At the same time, their institutionalized forms are supplemented, shifted and often forced to compete with information produced and disseminated by individual users. Moreover, contacts in and through digital media are not complementary to the usual forms of social interaction, but intertwined with them. On the other hand, the negative sides of the “boom” of memory, which researchers associate with the growth of amnesia intensified by this “boom”, and the deforming of commercialized memory are emphasized. First of all, it should be noted that openness also provided an opportunity to sound to the voices that can hardly be associated with democratic tendencies. This approach will enhance the nostalgic and thus mythologized memory. The role of the consumer context in which the interest in memory is realized is noted. This turns memory into just a type of product that is worth consuming simply to be modern. Also, the specificity of the functioning of communication provided by Internet platforms turns the past into one of the types of broadcast content and one of the tools for increasing the status of the user. It is not without reason that a number of authors believe that it is more reasonable to speak not about the “boom” of memory, but about the growing pace of oblivion, where the dominance of the above-described forms of memory only enhances it. I believe that attention to such forms of memory is necessary to increase reflexivity when discussing the issue of working out those productive goals and tasks that are assigned to the memory of the past.

Initial data in general relativity described by expansion, conformal deformation and drift

The conformal method is a technique for finding Cauchy data in general relativity solving the Einstein constraint equations, and its parameters include a conformal class, a conformal momentum (as measured by a densitized lapse), and a mean curvature. Although the conformal method is successful in generating constant mean curvature (CMC) solutions of the constraint equations, it is unknown how well it applies in the non-CMC setting, and there have been indications that it encounters difficulties there. We are therefore motivated to investigate alternative generalizations of the CMC conformal method. Introducing a densitized lapse into the ADM Lagrangian, we find that solutions of the momentum constraint can be described in terms of three parameters. The first is conformal momentum as it appears in the standard conformal method. The second is volumetric momentum, which appears as an explicit parameter in the CMC conformal method, but not in the non-CMC formulation. We have called the third parameter drift momentum, and it is the conjugate momentum to infinitesimal motions in superspace that preserve conformal class and volume form up to independent diffeomorphisms. This decomposition of solutions of the momentum constraint leads to extensions of the CMC conformal method where conformal and volumetric momenta both appear as parameters. There is more than one way to treat drift momentum, in part because of an interesting duality that emerges, and we identify three candidates for incorporating drift into a variation of the conformal method.

More exotic field theories in 3+1 dimensions

We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.

Sleep disorders and risk of dementia in patients with new-onset type 2 diabetes: A nationwide population-based cohort study.

This study examined the relationship between sleep disorders and the risk of dementia in patients with newly diagnosed type 2 diabetes. This study used the Korean Health Screening Cohort data and included 39 135 subjects aged ≥40 years with new-onset type 2 diabetes between 2004 and 2007, with follow-up throughout 2013. Sleep disorders were measured by F51(sleep disorders not due to a substance or known physiological condition) or G47(sleep disorders) under International Classification of Diseases, Tenth Revision (ICD-10) codes as a primary diagnosis, and the adjusted hazard ratio (AHR) and 95% CI of all-cause dementia, Alzheimer disease, vascular dementia, and other dementia were estimated using multivariable Cox proportional hazards regression models. In the patients with type 2 diabetes with an age range between 42 and 84 years (M = 57.8, SD = 9.5), this study identified 2059 events of dementia during an average follow-up time of 5.7 years. In patients with type 2 diabetes, subjects with sleep disorders were associated with an increased risk of all-cause dementia (AHR, 1.46; 95% CI, 1.19-1.80), Alzheimer disease (AHR, 1.39; 95% CI, 1.02-1.88), and other dementia (AHR, 1.69; 95% CI, 1.23-2.31) compared to those without sleep disorders. Men (AHR, 1.93; 95% CI, 1.42-2.62) and older adults (AHR, 1.70; 95% CI, 1.35-2.15) with sleep disorders were associated with an increased risk of dementia than their counterparts without sleep disorders among patients with type 2 diabetes. These findings suggest that sleep disorders are significantly associated with an increased risk of dementia in patients with new-onset type 2 diabetes.

Usefulness of Twitter for the Neurointensivist in the COVID-19 Outbreak: The Role of Social Media Platforms in Uncertain Times

Since the start of the coronavirus disease 2019 (COVID-19) pandemic, social networking has increased markedly.[1] The present list of virtual social networks is extensive, including Skype, YouTube, Zoom, WhatsApp, Signal, Twitter, LinkedIn, and so on. The use of social networks has been an important part of coping with this crisis.[1] The social networks that initially emerged as strategies for fun and socialization in recent years have become an important part of learning.[2] Virtual social networks facilitate the construction of knowledge based on personal and common interests. They have progressively occupied an important place in our society. An interesting duality of social networks is the possibility of uniting formal and informal environments in a common goal: continuous learning. The use of social networks facilitates creativity, creation, exchange, and collaboration.[3] In our world, the possibility of collaboration between remotely located cities and countries opens endless options.

How institutional biosafety committees contribute to safety, capacity and regulatory approvals in cell and gene therapy trials

Background & Aim In Australia clinical trials of viral vector gene therapies or gene modified (GM) viruses are required to be licenced by the Office of the Gene Technology Regulator (OGTR). Institutional Biosafety Committees (IBCs) play a crucial role by reviewing applications before they go to the OGTR for decision. IBCs also advise on cell therapy trials that do not require a licence and on laboratory research. Their advice covers safety, compliance and governance to meet the objective of the Australian Gene Technology Act 2000, which ‘is to protect the health and safety of people, and to protect the environment, by identifying risks posed by or as a result of gene technology, and by managing those risks through regulating certain dealings with GMOs [Genetically Modified Organisms]’. Methods, Results & Conclusion Royal Prince Alfred Hospital (RPAH) IBC contributes to cell and gene therapy capacity building within Sydney Local Health District. Since 2008 it has advised on over 22 clinical trials; 14 of which required an OGTR licence. It has reviewed 6 licence applications and local risk management for 7 licences obtained via other IBCs. The number of trials advised on is increasing (5 in 2008-2015, 9 in 2016-2019 and 4 as at March 2020). They cover adeno-associated viral vectors for haemophilia, adenoviral vectors for mesothelioma, oncolytic GM human HSV-1 for melanoma and squamous cell carcinoma, oncolytic GM vaccinia virus vaccine strain for liver and kidney cancer, autologous cells transduced ex vivo with lentiviral vectors for beta-thalassemia (CD34+ cells) and adult diffuse large B-cell lymphoma (chimeric antigen receptor T cells targeting CD19) and allogeneic CRISPR Cas-9 engineered T-cells for B cell malignancies. The IBC conducts science-based risk assessments, facility inspections, assists organisations to prepare for cell and gene therapy clinical trials and contributes to policy and national reviews. It assists applicants and liaises with the OGTR. It has answered infection control queries, educated sponsors, developed a GMO-waste management training program with environmental services; ensured eye-wash, autoclave maintenance and spills management training are provided; assisted with corrective actions; and provided risk prevention advice. The members are scientists, researchers, health professionals, engineers and lay persons. The committee has processes for managing confidential information and dualities of interest and assesses new technologies, policies and regulations as they emerge.

Erratum. Predicting 10-Year Risk of End-Organ Complications of Type 2 Diabetes With and Without Metabolic Surgery: A Machine Learning Approach. Diabetes Care 2020;43:852-859.

In the article cited above, the duality of interest disclosures were inadvertently omitted. The text below replaces the previous “Funding” and “Duality of Interest” sections: Funding and Duality of Interest. This study was partially funded by an unrestricted grant from Medtronic. A.A. reports receiving grants from Medtronic. D.E.A. reports receiving grants from the National Institutes of Health National Institute of Diabetes …

Matrix factorisations arising from well-generated complex reflection groups

We discuss an interesting duality known to occur for certain complex reflection groups, namely the duality groups. Our main construction yields a concrete, representation theoretic realisation of this duality. This allows us to naturally identify invariant vector fields with vector fields on the orbit space, for the action of a duality group. As another application, we construct matrix factorisations of the highest degree basic invariant which give free resolutions of the module of Kähler differentials of the coinvariant algebra A associated to such a reflection group. From this one can explicitly calculate the dimension of each graded piece of ΩA/C and of DerC(A,A), adding a new formula to the numerology of reflection groups. This applies for instance when A is the cohomology of any complete flag manifold, and hence has geometric consequences.

Distribution of Blood Glucose and Prevalence of Diabetes Among Centenarians and Oldest-Old in China: Based on the China Hainan Centenarian Cohort Study and China Hainan Oldest-Old Cohort Study

Importance: There was little data on the distribution of blood glucose levels and diabetes prevalence for centenarians and the oldest-old. Objective: The aim of this study is to analyzed the distribution of blood glucose and diabetes prevalence for centenarians and oldest-old in China:Based on the China Hainan Centenarian Cohort Study (CHCCS) and China Hainan Oldest-old Cohort Study (CHOCS). Design, setting and participants A total of 1002 centenarians and 798 oldest-old were enrolled from 18 cities and counties in Hainan Province (one of the longevity provinces). Main Outcomes and Measures: The fasting blood glucose was tested and prevalence of diabetes was calculated. Results: The average age of centenarians was 102.77±2.55 years old, 82.0% were women. The average age of the oldest-old was 84.99±4.01 years old, 59.9% were women. The average blood glucose of centenarians was 5.12±1.44mmol/L and 4.80±1.27mmol/L, and more than 70% were between 3.00mmol/L and 5.99mmol/L. There was no statistical difference between different genders and age groups. A total of 9.5% of centenarians had diabetes and 8.1% had IFG. A total of 11.4% of the oldest-old had diabetes and 4.4% had IFG. Abdominal obesity and TG levels may be associated with diabetes prevalence. The corresponding ORs were 1.517(1.083-2.125) and 1.473(1.089-1.943) respectively of abdominal obesity among centenarians and the oldest-old respectively, and corresponding ORs 1.182(1.081-1.316) and 1.162(1.009-1.699) respectively of abdominal obesity among centenarians and the oldest-old respectively Conclusions and Relevance: In summary, the results based on CHCCS with the largest sample among centenarians and CHOCS showed that the blood glucose level and the prevalence of diabetes were at a lower level than those of adults or younger elderly. Funding Statement: This work was supported by National Natural Science Foundation (81703285,81773502,81703308), Beijing Nova Program (Z181100006218085), Excellent youth project (2018-yqpy-003); 3+1 project; National Clinical Research Center for Geriatrics Diseases（NCRCG-PLAGH-2017017）,Medical big data research project of PLA General Hospital (2018MBD-029, 2018MBD-030); National key research and development project (2016YFC1303603, 2018YFC2000400); National Science and technology resource sharing service platform plan project (YCZYPT[2018]07) Declaration of Interests: The authors declare that there is no duality of interest associated with this manuscript. Ethics Approval Statement: This study was approved by the Biomedical Ethics Committee of Chinese PLA general hospital, and written informed consent with signature or fingerprint was obtained from each respondent.