Hole In Bulk Research Articles

Supersymmetric Spectral Form Factor and Euclidean Black Holes.

The late-time behavior of spectral form factor (SFF) encodes the inherent discreteness of a quantum system, which should be generically nonvanishing. We study an index analog of the microcanonical spectrum form factor in four-dimensional N=4 super Yang-Mills theory. In the large N limit and at large enough energy, the most dominant saddle corresponds to the black hole in the AdS bulk. This gives rise to the slope that decreases exponentially for a small imaginary chemical potential, which is a natural analog of an early time. We find that the "late-time" behavior is governed by the multicut saddles that arise in the index matrix model, which are nonperturbatively subdominant at early times. These saddles become dominant at late times, preventing the SFF from decaying. These multicut saddles correspond to the orbifolded Euclidean black holes in the AdS bulk, therefore giving the geometrical interpretation of the "ramp". Our analysis is done in the standard AdS/CFT setting without ensemble average or wormholes.

Extremal higher spin black holes

The gauge sector of three-dimensional higher spin gravities can be formulated as a Chern-Simons theory. In this context, a higher spin black hole corresponds to a flat connection with suitable holonomy (smoothness) conditions which are consistent with the properties of a generalized thermal ensemble. Building on these ideas, we discuss a definition of black hole extremality which is appropriate to the topological character of 3d higher spin theories. Our definition can be phrased in terms of the Jordan class of the holonomy around a non-contractible (angular) cycle, and we show that it is compatible with the zero-temperature limit of smooth black hole solutions. While this notion of extremality does not require supersymmetry, we exemplify its consequences in the context of sl(3|2) + sl(3|2) Chern-Simons theory and show that, as usual, not all extremal solutions preserve supersymmetries. Remarkably, we find in addition that the higher spin setup allows for non-extremal supersymmetric black hole solutions. Furthermore, we discuss our results from the perspective of the holographic duality between sl(3|2) + sl(3|2) Chern-Simons theory and two-dimensional CFTs with W_{(3|2)} symmetry, the simplest higher spin extension of the N=2 super-Virasoro algebra. In particular, we compute W_{(3|2)} BPS bounds at the full quantum level, and relate their semiclassical limit to extremal black hole or conical defect solutions in the 3d bulk. Along the way, we discuss the role of the spectral flow automorphism and provide a conjecture for the form of the semiclassical BPS bounds in general N=2 two-dimensional CFTs with extended symmetry algebras.

Improved AdS/QCD model with matter

We study an improved AdS/QCD model at finite temperature and chemical potential. An Ansatz for the beta-function for the boundary theory allows for the derivation of a charged dilatonic black hole in bulk. The solution is asymptotically RN-AdS in the UV and AdS2 * R3 in the IR. We discuss the thermodynamical aspects of the solution. The fermionic susceptibilities are shown to deviate from the free fermionic limits at asymptotic temperatures despite the asymptotically free nature of the gauge coupling at the boundary. The Polyakov line, the temporal and spatial string tensions dependence on both temperature and chemical potential are also discussed.

Electronic Properties and Oxygen Nonstoichiometry of Mixed-conducting Oxide La1-χSrχCoO3-δ Thin Films at High Temperature

Thin films of the perovskite-type oxide La1-χSrχCoO3-δ were deposited onto Ce0.9Gd0.1O1.95, SiO2 and single crystal MgO (100) substrates surface by a pulsed laser deposition (PLD) using a XeCl excimer laser to study the difference of the electronic properties and nonstoichiometry. It was shown that the oxygen nonstoichiometry of thin film is smaller than that of bulk for La1-χSrχCoO3-δ. The conductivity of the films were measured by a DC four probe method in 10-4-1 bar O2 gas at temperatures of 25-800{degree sign}C. The activation energy of the conductivity for thin films strongly depends on substrates due to the mismatch of the thermal expansion coefficient between the thin film and the substrate. Although the temperature coefficient of conductivity of La1-χSrχCoO3-δ bulk was negative for χ≥0.4 and was positive for 0≤χ≤0.3, that of thin film was positive irrespective of χ. At the condition with the Co mean valence of 3.0 for χ=0.4, 0.5, the conductivity shows large values for bulk, on the other hand, the conductivity is close to 0 for thin film. These facts suggest the electron hole in bulk is delocalized and metal like, while that in thin film is localized on cobalt ion.

Asymmetrically warped compactifications and gravitational Lorentz violation

In a variant of the Randall-Sundrum braneworld model which has a charged black hole in an anti-de Sitter bulk, the 4D speed of gravity depends upon one's location in the bulk, and in general differs from the speed of light on a given 3-brane. We apply phenomenological constraints on the difference in the speeds of light and gravity to models which use the warping to solve the hierarchy problem. In particular, consideration of the gravi-Cerenkov radiation of Kaluza-Klein gravitons by ultra-high energy cosmic rays leads to a stringent limit on the fractional difference between the graviton and photon speeds in RS-like models: it must be less than a part in 10^{23}.

Brane-world creation and black holes

An inflating brane-world can be created from ``nothing'' together with its Anti-de Sitter (AdS) bulk. The resulting space-time has compact spatial sections bounded by the brane. During inflation, the continuum of KK modes is separated from the massless zero mode by the gap $m=(3/2) H$, where $H$ is the Hubble rate. We consider the analog of the Nariai solution and argue that it describes pair production of ``Black cigars'' attached to the inflating brane. In the case when the size of the instantons is much larger than the AdS radius, the 5-dimensional action agrees with the 4-dimensional one. Hence, the 5D and 4D gravitational entropies are the same in this limit. We also consider thermal instantons with an AdS black hole in the bulk. These may be interpreted as describing the creation of a hot universe from nothing, or the production of AdS black holes in the vicinity of a pre-existing inflating brane-world. The Lorentzian evolution of the brane-world after creation is briefly discussed. An additional "integration constant" in the Friedmann equation -accompanying a term which dilutes like radiation- describes the tidal force in the fifth direction and arises from the mass of a spherical object inside the bulk. This could be a 5-dimensional black hole or a "parallel" brane-world of negative tension concentrical with our brane-world. In the case of thermal solutions, and in the spirit of the $AdS/CFT$ correspondence, one may attribute the additional term to thermal radiation in the boundary theory. Then, for temperatures well below the AdS scale, the entropy of this radiation agrees with the entropy of the black hole in the AdS bulk.