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We establish an exact duality between the extended thermodynamics of five-dimensional charged Gauss-Bonnet AdS black holes and the thermodynamic framework of the dual boundary conformal field theory (CFT). The thermodynamics of the dual CFT…

High Energy Physics - Theory · Physics 2026-05-29 Si-Jiang Yang , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

We study the application of AdS/CFT duality to longitudinal boost invariant Bjorken expansion of QCD matter produced in ultrarelativistic heavy ion collisions. As the exact (1+4)-dimensional bulk solutions for the (1+3)-dimensional boundary…

High Energy Physics - Theory · Physics 2008-11-26 K. Kajantie , Jorma Louko , T. Tahkokallio

We provide a simple and explicit construction of local bulk operators that describe the interior of a black hole in the AdS/CFT correspondence. The existence of these operators is predicated on the assumption that the mapping of CFT…

High Energy Physics - Theory · Physics 2014-05-07 Kyriakos Papadodimas , Suvrat Raju

We develop an approach to construct local bulk operators in a CFT to order $1/N^2$. Since 4-point functions are not fixed by conformal invariance we use the OPE to categorize possible forms for a bulk operator. Using previous results on…

High Energy Physics - Theory · Physics 2016-11-23 Daniel Kabat , Gilad Lifschytz

We compute 5-point classical conformal blocks with two heavy, two light, and one superlight operator using the monodromy approach up to third order in the superlight expansion. By virtue of the AdS/CFT correspondence we show the equivalence…

High Energy Physics - Theory · Physics 2016-02-17 K. B. Alkalaev , V. A. Belavin

We study the Klein-Gordon equation of a scalar field conformally coupled to a charged BTZ black hole. The background metric is obtained by coupling a non-linear and conformal invariant Maxwell field to (2+1) gravity. We show that the radial…

General Relativity and Quantum Cosmology · Physics 2016-05-04 P. Valtancoli

This paper has two parts. First we review the description of local bulk operators in Lorentzian AdS in terms of non-local operators in the boundary CFT. We discuss how bulk locality arises in pure AdS backgrounds and how it is modified at…

High Energy Physics - Theory · Physics 2008-09-28 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

We continue the study of a special entry in the AdS/CFT dictionary, namely a holographic formula relating the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter (ALAdS) space to a relative…

General Relativity and Quantum Cosmology · Physics 2015-05-14 R Aros , D E Diaz

We show that bulk quantities localized on a minimal surface homologous to a boundary region correspond in the CFT to operators that commute with the modular Hamiltonian associated with the boundary region. If two such minimal surfaces…

High Energy Physics - Theory · Physics 2017-08-02 Daniel Kabat , Gilad Lifschytz

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 develop an analytic approach to Boundary Conformal Field Theory (BCFT), focussing on the two-point function of a general pair of scalar primary operators. The resulting crossing equation can be thought of as a vector equation in an…

High Energy Physics - Theory · Physics 2020-01-29 Dalimil Mazáč , Leonardo Rastelli , Xinan Zhou

We study the real-time bulk AdS$_3$ two-into-two scattering amplitude of conical defects. This is done through means of a previously developed method of systematic approximation of the monodromy problem for the Virasoro blocks of the…

High Energy Physics - Theory · Physics 2025-02-05 Souvik Banerjee , Gideon Vos

First-quantized propagation in quantum gravitational AdS$_3$ backgrounds can be exactly reconstructed using CFT$_2$ data and Virasoro symmetry. We develop methods to compute the bulk-to-boundary propagator in a black hole microstate,…

High Energy Physics - Theory · Physics 2022-10-12 Hongbin Chen , A. Liam Fitzpatrick , Jared Kaplan , Daliang Li

We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable…

High Energy Physics - Theory · Physics 2020-03-18 Valentino F. Foit , Daniel Kabat , Gilad Lifschytz

In this paper we extend our previous work regarding the role of the Fourier transformation in bulk to boundary mappings to include the BTZ black hole. We follow standard procedures for modifying Fourier Transformations to accommodate…

High Energy Physics - Theory · Physics 2009-11-12 Ian M. Tolfree

In the semi-classical ($c \rightarrow \infty$) limit, 4-point HLLH correlators in 2D CFTs exhibit periodic Euclidean singularities. Periodic singularities in Euclidean time are a general feature of thermal correlators, even at weak…

High Energy Physics - Theory · Physics 2025-05-15 Aaditya Datar , Chethan Krishnan

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 describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi

We give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields $\phi$ and the coupled boundary fields $\phi_0$…

High Energy Physics - Theory · Physics 2009-10-31 V. K. Dobrev

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