Three dimensional origin of AdS 2 quantum gravity (original) (raw)

Microscopic entropy of black holes and AdS_2 quantum gravity

Arxiv preprint arXiv:0812.3362, 2008

Abstract: Quantum gravity (QG) on two-dimensional anti-de Sitter spacetime (AdS_2) takes always the form of a chiral conformal field theory (CFT). However, the actual content of the CFT, and in particular its central charge, depends on the background values of the dilaton and Maxwell field. We review the main features of AdS_2 QG with linear dilaton and of AdS_2 QG with constant dilaton and Maxwell field. We also show that the 3D charged Banados-Teitelboim-Zanelli black hole interpolates between these two versions of AdS_2 ...

Near extremal Kerr entropy from AdS2 quantum gravity

Journal of High Energy Physics, 2009

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the same central charge) that acts on the degenerate ground state. The energy of the excitations is computed as well, and we can use Cardy's formula to determine the near extremal entropy. Our result is consistent with the Bekenstein-Hawking area law for near extremal Kerr black holes.

Multi-black-hole sectors of AdS3 gravity

Physical Review D, 2002

Boundary charges at infinity are only sensitive to the total mass and spin of the black holes, and not to the distribution among the black holes. We therefore argue that a holographic description in terms of a boundary conformal field theory should represent both single and multiple BTZ solutions with the same asymptotic charges. Then sectors with multiple black holes would contribute to the black hole entropy calculated from a boundary CFT.

Quantum gravity on dS3

Classical and Quantum Gravity, 2002

We study quantum gravity on dS3 using the Chern-Simons formulation of three-dimensional gravity. We derive an exact expression for the partition function for quantum gravity on dS3 in a Euclidean path integral approach. We show that the topology of the space relevant for studying de Sitter entropy is a solid torus. The quantum fluctuations of de Sitter space are sectors of configurations of point masses taking a discrete set of values. The partition function gives the correct semi-classical entropy. The sub-leading correction to the entropy is logarithmic in horizon area, with a coefficient −1. We discuss this correction in detail, and show that the sub-leading correction to the entropy from the dS/CFT correspondence agrees with our result. A comparison with the corresponding results for the AdS3 BTZ black hole is also presented.

Near-horizon limit of the charged BTZ black hole and AdS 2 quantum gravity

Journal of High Energy Physics, 2008

We show that the 3D charged Banados-Teitelboim-Zanelli (BTZ) black hole solution interpolates between two different 2D AdS spacetimes: a near-extremal, nearhorizon AdS 2 geometry with constant dilaton and U(1) field and an asymptotic AdS 2 geometry with a linear dilaton. Thus, the charged BTZ black hole can be considered as interpolating between the two different formulations proposed until now for AdS 2 quantum gravity. In both cases the theory is the chiral half of a 2D CFT and describes, respectively, Brown-Hennaux-like boundary deformations and near-horizon excitations. The central charge c as of the asymptotic CFT is determined by 3D Newton constant G and the AdS length l, c as = 3l/G, whereas that of the near-horizon CFT also depends on the U(1) charge Q, c nh ∝ lQ/ √

Holographic description of AdS2 black holes

Journal of High Energy Physics, 2008

We develop the holographic renormalization of AdS 2 gravity systematically. We find that a bulk Maxwell term necessitates a boundary mass term for the gauge field and verify that this unusual term is invariant under gauge transformations that preserve the boundary conditions. We determine the energy-momentum tensor and the central charge, recovering recent results by Hartman and Strominger. We show that our expressions are consistent with dimensional reduction of the AdS 3 energy-momentum tensor and the Brown-Henneaux central charge. As an application of our results we interpret the entropy of AdS 2 black holes as the ground state entropy of a dual CFT.

On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

Chinese Physics Letters, 2012

Considering the cosmological constant Λ as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume as proposed in [1], we discuss the critical behavior of charged AdS black hole in arbitrary dimensions d. In particular, we present a comparative study in terms of the spacetime dimension d and the displacement of critical points controlling the transition between the small and the large black holes. Such behaviors vary nicely in terms of d. Among our result in this context consists in showing that the equation of state for a charged RN-AdS black hole predicts an universal number given by 2d−5 4d−8 . The three dimensional solution is also discussed.

A Microscopic Basis for the Entropy of the bfAdS_3{\bf AdS}_3bfAdS_3 Black Hole

2000

We show that an SL(2, R)L × SL(2, R)R Chern-Simons theory coupled to a source on a manifold with the topology of a disk correctly describes the entropy of the AdS3 Black hole. The resulting boundary WZNW theory leads to two copies of a twisted affine Kac-Moody algebra, for which the respective Virasoro algebras have the same central charge c as the corresponding untwisted theory. But the eigenvalues of the respective L0 operators are shifted. We explore the subtleties arising from these features, compute the black hole entropy, and compare the result with other works in the literature. ∗ e-mail address: fernando@nku.edu † e-mail address: mansouri@uc.edu