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We show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro…

High Energy Physics - Theory · Physics 2015-12-08 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

Black hole microstates and their approximate thermodynamic properties can be studied using heavy-light correlation functions in AdS/CFT. Universal features of these correlators can be extracted from the Virasoro conformal blocks in CFT2,…

High Energy Physics - Theory · Physics 2016-04-08 A. Liam Fitzpatrick , Jared Kaplan

We consider the semiclassical limit of the vacuum Virasoro block describing the diagonal 4-point correlation functions on the sphere. At large central charge c, after exponentiation, it depends on two fixed ratios h_H/c and h_L/c, where…

High Energy Physics - Theory · Physics 2016-03-23 Matteo Beccaria , Alberto Fachechi , Guido Macorini

The AdS/CFT correspondence has been tested through the reproduction of standard results. Following this approach, we use the correspondence to obtain the Hawking temperature of a black hole in 1+1 dimensions. Using an auxiliary Liouville…

High Energy Physics - Theory · Physics 2008-04-07 Jorge S. Diaz

In two spacetime dimensions the Virasoro heavy-heavy-light-light (HHLL) vacuum block in a certain limit is governed by the Catalan numbers. The equation for their generating function can be generalized to a differential equation which the…

High Energy Physics - Theory · Physics 2022-07-13 Robin Karlsson , Manuela Kulaxizi , Gim Seng Ng , Andrei Parnachev , Petar Tadić

We continue to investigate the dual description of the Virasoro conformal blocks arising in the framework of the classical limit of the AdS$_3$/CFT$_2$ correspondence. To give such an interpretation in previous studies, certain restrictions…

High Energy Physics - Theory · Physics 2017-09-13 V. A. Belavin , R. V. Geiko

It is well-known that in the large central charge $c$ limit, the Virasoro blocks in CFT$_2$ suffer from information loss when studying the BTZ black holes in the dual AdS$_3$ theory. Recent studies have proved that non-perturbative $e^{-c}$…

High Energy Physics - Theory · Physics 2024-10-01 Shivrat Sachdeva

We show that the near horizon regime of a Kerr-Newman-$AdS$ (KN$AdS$) black hole, given by its two dimensional analogue $a la$ Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303), is asymptotically $AdS_2$ and dual to a one dimensional…

High Energy Physics - Theory · Physics 2011-07-20 Bradly K. Button , Leo Rodriguez , Catherine A. Whiting , Tuna Yildirim

Two-dimensional conformal field theories at large central charge and with a sufficiently sparse spectrum of light states have been shown to exhibit universal thermodynamics. This thermodynamics matches that of AdS$_3$ gravity, with a…

High Energy Physics - Theory · Physics 2017-09-13 Per Kraus , Allic Sivaramakrishnan , River Snively

We use the conformal bootstrap equations to study the non-perturbative gravitational scattering between infalling and outgoing particles in the vicinity of a black hole horizon in AdS. We focus on irrational 2D CFTs with large $c$ and only…

High Energy Physics - Theory · Physics 2015-12-09 Steven Jackson , Lauren McGough , Herman Verlinde

We present a unified framework for the holographic computation of Virasoro conformal blocks at large central charge. In particular, we provide bulk constructions that correctly reproduce all semiclassical Virasoro blocks that are known…

High Energy Physics - Theory · Physics 2016-01-27 Eliot Hijano , Per Kraus , Eric Perlmutter , River Snively

We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing a…

High Energy Physics - Theory · Physics 2017-07-20 Leo Rodriguez , Shanshan Rodriguez

We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint orbits of the Virasoro group. There is one subset of orbits, associated to BTZ black hole solutions, that can be described by a pair of chiral free fields with a…

High Energy Physics - Theory · Physics 2009-10-31 J. Navarro-Salas , P. Navarro

The rotating linear dilatonic black hole is an asymptotically non-flat solution to Einstein-Maxwell-Dilaton-Axion gravity theory due to the existence of non-trivial matter fields. We have analytically studied the wave equation of scalar…

High Energy Physics - Theory · Physics 2013-04-29 Ran Li

We study a six-dimensional vector-tensor gravitation theory compactified to M_4 x S^2. Here, static spherically-symmetric solutions to the field equations of the theory are investigated. We examine the case that the magnetic charge of the…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Kiyoshi Shiraishi

We compute the asymptotic symmetry group of the four dimensional near-extremal Kerr-Sen black hole within an AdS2/CFT1 correspondence. We do this by performing a Robinson-Wilczek two dimensional reduction and construct a quantum theory of…

High Energy Physics - Theory · Physics 2013-10-25 Bradly K. Button , Leo Rodriguez , Sujeev Wickramasekara

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 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

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

Recently, in the Einstein gravity, Majhi and Padmanabhan proposed a straightforward and transparent way in obtaining the Bekenstein-Hawking entropy by using the approach based on the Virasoro algebra and central charge. In this work, we…

High Energy Physics - Theory · Physics 2013-02-21 Shao-Jun Zhang , Bin Wang
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