AdS4 Background Research Articles

Rotational holographic transport from Kerr-Newman-AdS black hole

We consider rotational holographic transport in strongly coupled 2+1-dimensional systems, from the point of view of 3+1-dimensional gravity. We consider the moment of inertia I as a kind of transport coefficient, identified with the moment of inertia of a charged rotating black hole in AdS4 background. In the low-temperature region, we find the behavior of the density I/A with temperature T and angular velocity Ω and find a quadratic behavior for ∂(I/A)/∂Ω with T, in the presence of some charge Q. Published by the American Physical Society 2024

Subleading analysis for S3 partition functions of N\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{N} $$\\end{document} = 2 holographic SCFTs

We investigate the 3-sphere partition functions of various 3d N\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mathcal{N} $$\\end{document} = 2 holographic SCFTs arising from the N stack of M2-branes in the ’t Hooft limit both analytically and numerically. We first employ a saddle point approximation to evaluate the free energy F = – log Z at the planar level, tracking the first subleading corrections in the large ’t Hooft coupling λ expansion. Subsequently, we improve these results by determining the planar free energy to all orders in the large λ expansion via numerical analysis. Remarkably, the resulting planar free energies turn out to take a universal form, supporting a prediction that these S3 partition functions are all given in terms of an Airy function even beyond the special cases where the Airy formulae were derived analytically in the literature; in this context we also present new Airy conjectures in several examples. The subleading behaviors we captured encode a part of quantum corrections to the M-theory path integrals around dual asymptotically Euclidean AdS4 backgrounds with the corresponding internal manifolds through holographic duality.

The holographic conformal manifold of 3d mathcal{N} = 2 S-fold SCFTs

We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS4 J-fold solutions preserving mathcal{N} = 2 supersymmetry. All solutions preserve mathfrak{u} (1) × mathfrak{u} (1) global symmetry and in special limits we recover the previously known mathfrak{su} (2) × mathfrak{u} (1) invariant mathcal{N} = 2 and mathfrak{su} (2) × mathfrak{su} (2) invariant mathcal{N} = 4 J-fold solutions. This family of AdS4 backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional S-fold SCFTs obtained from the mathcal{N} = 4 T [U(N)] theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS4 solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.

Marginal deformations of 3d mathcal{N}=2 CFTs from AdS4 backgrounds in generalised geometry

We study exactly marginal deformations of 3d mathcal{N}=2 CFTs dual to AdS4 solutions in eleven-dimensional supergravity using generalised geometry. Focussing on Sasaki-Einstein backgrounds, we find that marginal deformations correspond to turning on a four-form flux on the internal space at first order. Viewing this as the deformation of a generalised structure, we derive a general expression for the four-form flux in terms of a holomorphic function. We discuss the explicit examples of S7, Q1,1,1 and M1,1,1 and, using an obstruction analysis, find the conditions for the first-order deformations to extend all orders, thus identifying which marginal deformations are exactly marginal. We also show how the all-orders γ-deformation of Lunin and Maldacena can be encoded as a tri-vector deformation in generalised geometry and outline how to recover the supergravity solution from the generalised metric.

Mink3 × S3 solutions of type II supergravity

We initiate the classification of supersymmetric solutions of type II supergravity on R1,2×S3×M4. We find explicit local expressions for all backgrounds with either a single Killing spinor or two of equal norm, up to PDE's. We show that the only type II AdS×4S3 solution is the known N=4 AdS4 background obtained from the near-horizon limit of intersecting D2–D6 branes. Various known branes and intersecting brane systems are recovered, and we obtain a novel class of R1,2×S2×S3 solutions in IIA.

AdS4 backgrounds with N > 16 supersymmetries in 10 and 11 dimensions

We explore all warped AdS4 ×wMD−4 backgrounds with the most general allowed fluxes that preserve more than 16 supersymmetries in D = 10- and 11-dimensional supergravities. After imposing the assumption that either the internal space MD−4 is compact without boundary or the isometry algebra of the background decomposes into that of AdS4 and that of MD−4, we find that there are no such backgrounds in IIB supergravity. Similarly in IIA supergravity, there is a unique such background with 24 supersymmetries locally isometric to AdS4 × ℂℙ3, and in D = 11 supergravity all such backgrounds are locally isometric to the maximally supersymmetric AdS4 × S7 solution.

Formation of a condensate during charged collapse

We observe a condensate forming in the interior of a black hole (BH) during numerical simulations of gravitational collapse of a massless charged (complex) scalar field. The magnitude of the scalar field in the interior tends to a non-zero constant; spontaneous breaking of gauge symmetry occurs and a condensate forms. This phenomena occurs in the presence of a BH without the standard symmetry breaking quartic potential; the breaking occurs via the dynamics of the system itself. We also observe that the scalar field in the interior rotates in the complex plane and show that it matches numerically the electric potential to within 1%. That a charged scalar condensate can form near the horizon of a BH in the Abelian Higgs model without the standard symmetry breaking potential had previously been shown analytically in an explicit model involving a massive scalar field in an AdS4 background. Our numerical simulation lends strong support to this finding, although in our case the scalar field is massless and the spacetime is asymptotically flat.

Some New Results in AdS4/CFT3 Duality

In this talk I will present two new results related to the duality of AdS4 backgrounds of M theory or Type IIA string theory and three-dimensional Chern-Simons-Matter theories. The first result is a 1/λ correction to the supergravity/CFT relation between R and λ in the original ABJM and ABJ models. This part is based on work with Shinji Hirano, that appeared in [1]. The second result concerns the generalization of the ABJM model to unequal CS levels, which has been conjectured to be dual to an AdS4 solution of massive Type IIA supergravity. I will present a simple brane construction that supports this conjecture. This part is based on work with Gilad Lifschytz, that appeared in [2]

Critical and non-critical Einstein-Weyl supergravity

We construct \( \mathcal{N} = 1 \) supersymmetrisations of some recently-proposed theories of critical gravity, conformal gravity, and extensions of critical gravity in four dimensions. The total action consists of the sum of three separately off-shell supersymmetric actions containing Einstein gravity, a cosmological term and the square of the Weyl tensor. For generic choices of the coefficients for these terms, the excitations of the resulting theory around an AdS4 background describe massive spin-2 and massless spin-2 modes coming from the metric; massive spin-1 modes coming from a vector field in the theory; and massless and massive spin-\( \frac{3}{2} \) modes (with two unequal masses)coming from the gravitino. These assemble into a massless and a massive \( \mathcal{N} = 1 \) spin-2 multiplet. In critical supergravity, the coefficients are tuned so that the spin-2 mode in the massive multiplet becomes massless. In the extensions of critical supergravity, the coefficients are chosen so that the massive modes lie in a “window” of lowest energies E 0 such that these ghostlike fields can be truncated by imposing appropriate boundary conditions at infinity, thus leaving just positive-norm massless supergravity modes.

Higher‐spin dynamics and Chern‐Simons theories

AbstractWe review the construction of consistent higher‐spin theories based on Chern‐Simons actions. To this end we first introduce the required higher‐spin algebras and discuss curvature and torsion tensors in an unconstrained way. Finally we perform a perturbative analysis of the Chern‐Simons theory in D = 5 for a non‐maximally symmetric AdS4 background and obtain the required four‐dimensional Frønsdal equations in the compensator formulation.