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Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole…

High Energy Physics - Theory · Physics 2015-06-05 Igal Arav , Yaron Oz

The AdS/CFT correspondence has developed over the last years into a very useful and powerful tool for studying strongly coupled field theories at finite temperature and density. Of particular interest is the regime of near equilibrium real…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Karl Landsteiner

We provide a realization of the AdS$_2$/CFT$_1$ correspondence in terms of asymptotic symmetries of the AdS$_2\times$S$^1$ and AdS$_2\times$S$^2$ geometries arising in near-extremal BTZ and Reissner-Nordstr\"om black holes. Cardy's formula…

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

We compute the distance-dependent two-point function of vertex-bicolored planar maps, i.e., maps whose vertices are colored in black and white so that no adjacent vertices have the same color. By distance-dependent two-point function, we…

Combinatorics · Mathematics 2015-12-02 Éric Fusy , Emmanuel Guitter

We demonstrate how contact chord diagrams can arise from certain Fock-space models and compute the corresponding correlation functions using the chord path integral technique. In particular, our three-point functions are in the right form…

High Energy Physics - Theory · Physics 2025-03-31 Yiyang Jia

In this work we present the solution for a rotating Kerr black hole in the weak-field limit under the radiation gauge proposed by Chen and Zhu [Phys. Rev. D83, 061501(R) (2011)], with which the two physical components of the gravitational…

General Physics · Physics 2018-02-12 Chunhua Jiang , Chaohong Pan , Wenbin Lin

Five dimensional Einstein gravity vacuum solutions in general fall into two classes of black rings with horizon topology S^2 \times S^1, and black holes with horizon topology S^3. These solutions are specified by their mass and two spins.…

High Energy Physics - Theory · Physics 2013-10-30 Ahmad Ghodsi , Hanif Golchin , M. M. Sheikh-Jabbari

We consider the Maxwell field in the exterior of a Kerr black hole. For this system, we propose a geometric construction of generalized Klein-Gordon equation called Fackerell-Ipser equation. Our model is based on conformal Yano-Kiling…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jacek Jezierski , Tomasz Smołka

We analyze the asymptotic symmetries of near extremal Kerr black holes in four dimensions using the AdS_2/CFT_1 correspondence. We find a Virasoro algebra with central charge c_R=12J that is independent from the Virasoro algebra (with the…

High Energy Physics - Theory · Physics 2009-12-17 Alejandra Castro , Finn Larsen

In Ref.~\cite{Grozdanov:2024wgo}, we derived a spectral duality relation applicable to the spectra of 3$d$ conformal field theories (CFTs) and their holographically dual 4$d$ black holes. In this work, we further elaborate on the properties…

High Energy Physics - Theory · Physics 2025-10-08 Sašo Grozdanov , Mile Vrbica

Two and three-point functions of primary fields in four dimensional CFT have a simple space-time dependences factored out from the combinatoric structure which enumerates the fields and gives their couplings. This has led to the formulation…

High Energy Physics - Theory · Physics 2022-02-22 Robert de Mello Koch , Sanjaye Ramgoolam

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave…

High Energy Physics - Theory · Physics 2007-05-23 L. Hoffmann , A. C. Petkou , W. Ruehl

We derive the conditions for a non-equatorial eccentric bound orbit to exist around a Kerr black hole in two-parameter spaces: the energy, angular momentum of the test particle, spin of the black hole, and Carter's constant space ($E$, $L$,…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Prerna Rana , A. Mangalam

We examine new tests for (non-)extremal Reissner-Nordstr\"om/Conformal field theory correspondences (RN/CFT) in this paper. The decay rate of the charged scalar wave sourced by an orbiting star around the black hole is computed and is…

High Energy Physics - Theory · Physics 2016-05-24 Xing-Hua Wu , Ran Li

We study possible CFT duals of supersymmetric five dimensional black rings in the presence of supersymmetric higher derivative corrections to the N=2 supergravity action. A Virasoro algebra associated to an asymptotic symmetry group of…

High Energy Physics - Theory · Physics 2012-04-04 K. Goldstein , H. Soltanpanahi

Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG)…

High Energy Physics - Theory · Physics 2023-05-03 Alexandra Chanson , Victoria Martin , Maria J. Rodriguez , Luis Fernando Temoche

In the presence of a black hole, light sources connect to observers along multiple paths. As a result, observed brightness fluctuations must be correlated across different times and positions in black hole images. Photons that execute…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Shahar Hadar , Michael D. Johnson , Alexandru Lupsasca , George N. Wong

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

High Energy Physics - Theory · Physics 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

We study the dual description of the self-dual orbifold, a locally AdS_3 spacetime which is a circle fibration over AdS_2 and arises as the near-horizon limit of the extreme BTZ black hole. The geometry has two boundaries; we argue that…

High Energy Physics - Theory · Physics 2011-06-21 Vijay Balasubramanian , Jamie Parsons , Simon F. Ross

$N$-point functions of holomorphic fields in conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulas for the 2-point function of the Virasoro field on hyperelliptic Riemann surfaces of…

Complex Variables · Mathematics 2013-09-10 Marianne Leitner