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arXiv · 2404.10128

Higher-curvature gravity in AdS$_3$, holographic $c$-theorems and black hole microstates

Mariano Chernicoff·Gaston Giribet·Javier Moreno·Julio Oliva·Raul Rojas·Cielo Ramirez de Arellano Torres
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Abstract

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 Ba\~nados-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 non-supersymmetric solutions, of non-constant curvature in higher-derivative theories of arbitrary order in the curvature.

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Mariano Chernicoff, Gaston Giribet, Javier Moreno, Julio Oliva, Raul Rojas, Cielo Ramirez de Arellano Torres. 2024-04-15. Higher-curvature gravity in AdS$_3$, holographic $c$-theorems and black hole microstates. https://arxiv.org/abs/2404.10128

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