Higher-curvature gravity in <math display="inline"><mrow><msub><mrow><mi>AdS</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math>, holographic <math display="inline"><mi>c</mi></math>-theorems, and black hole microstates - INSPIRE

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Higher-curvature gravity in ${AdS}_{3}$ , holographic $c$ -theorems, and black hole microstates

Apr 15, 2024

22 pages

Published in:

Phys.Rev.D 110 (2024) 2, 026005

Published: Jul 9, 2024

e-Print:

2404.10128 [hep-th]

DOI:

10.1103/PhysRevD.110.026005 (publication)

View in:

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Abstract: (APS)

We construct higher-derivative gravity theories in three dimensions that admit holographic

c

-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order

n

in the curvature. We show that these theories exhibit special properties, the most salient ones being the decoupling of ghost modes around anti–de Sitter (AdS) space, the enhancement of symmetries at linearized level, and the existence of a one-parameter generalization of the Bañados-Teitelboim-Zanelli (BTZ) black hole that, while being asymptotically AdS, is not of constant curvature but rather exhibits a curvature singularity. For such black holes, we provide a holographic derivation of their thermodynamics. This gives a microscopic picture of black hole thermodynamics for nonsupersymmetric solutions, of nonconstant curvature in higher-derivative theories of arbitrary order in the curvature.

Note:

22 pages. V2: minor changes and references added. To appear in Physical Review D

derivative: high
space: anti-de Sitter
dimension: 3
ghost: decoupling
curvature: singularity
symmetry: enhancement
black hole: thermodynamics
holography
gravitation
microstate

References(41)

Figures(0)

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