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This thesis explores thermal correlation functions in conformal field theories (CFTs) and their connection to black hole geometry within the AdS/CFT correspondence, using a near-boundary expansion as the main tool. Two themes are examined.…

High Energy Physics - Theory · Physics 2025-08-26 Samuel Valach

We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2014-11-18 Satoshi Ohya

In the AdS$_3$/CFT$_2$ framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems,…

High Energy Physics - Theory · Physics 2024-06-26 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

The AdS/CFT correspondence is established for the AdS_3 space compactified on a solid torus with the CFT field on the boundary. Correlation functions that correspond to the bulk theory at finite temperature are obtained in the…

High Energy Physics - Theory · Physics 2008-11-26 L. Chekhov

We compute thermal 2-point correlation functions in the black brane $AdS_5$ background dual to 4d CFT's at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It…

High Energy Physics - Theory · Physics 2021-06-30 D. Rodriguez-Gomez , J. G. Russo

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

Since many thermodynamic properties of black holes are universal, the thermodynamics of their holographic duals should be universal too. We show how this universality is exhibited in the example of symmetric orbifolds of general two…

High Energy Physics - Theory · Physics 2015-03-18 Christoph A. Keller

We probe the AdS/CFT correspondence by comparing the thermodynamics of a rotating black hole in five-dimensional anti-de Sitter space with that of a conformal field theory on $S^3$, whose parameters come from the boundary of spacetime. In…

High Energy Physics - Theory · Physics 2010-11-19 D. S. Berman , Maulik K. Parikh

The area law of Bekenstein-Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that a large class of rotating and charged black holes could be…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Bin Chen , Jia-ju Zhang

In this note we investigate the first law of thermodynamics of the two-dimensional conformal field theory (CFT) that is dual to black holes. We start from the Cardy formula and get the CFT thermodynamics with minimal reasonable assumptions.…

High Energy Physics - Theory · Physics 2014-08-13 Jia-ju Zhang

We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge $(c)$ CFTs in order to obtain…

High Energy Physics - Theory · Physics 2022-09-07 Sanchari Pal

Extremal black holes have vanishing Hawking temperatures. In this article, we argue that for asymptotically AdS black holes, at extremality, a particular class of correlators in the dual CFT can exhibit exponential, maximally chaotic growth…

High Energy Physics - Theory · Physics 2020-11-18 Avik Banerjee , Arnab Kundu , Rohan R. Poojary

In this paper, we study the thermodynamic behavior of charged AdS black holes in higher-dimensional spacetimes within the framework of conformal holographic extended thermodynamics. This formalism is based on a novel AdS/CFT dictionary in…

High Energy Physics - Theory · Physics 2025-10-31 Yahya Ladghami , Taoufik Ouali

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the…

High Energy Physics - Theory · Physics 2009-10-31 Marco M. Caldarelli , Guido Cognola , Dietmar Klemm

The emergent nature of spacetime geometry and black holes can be directly probed in simple holographic duals of higher spin gravity and tensionless string theory. To this end, we study time dependent thermal correlation functions of gauge…

High Energy Physics - Theory · Physics 2019-04-15 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding…

High Energy Physics - Theory · Physics 2024-03-26 Yahya Ladghami , Taoufik Ouali

We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large…

High Energy Physics - Theory · Physics 2021-12-08 Hare Krishna , D. Rodriguez-Gomez

We investigate how the gravitational effects of a black hole manifest themselves as thermal behavior in the dual finite-temperature conformal field theory (CFT). In the holographic framework of AdS/CFT, we analyze a wave packet propagating…

High Energy Physics - Theory · Physics 2026-01-23 Norihiro Tanahashi , Seiji Terashima , Shiki Yoshikawa

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters
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