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In the AdS/CFT correspondence eternal black holes can be viewed as a specific entanglement between two copies of the CFT: the thermofield double. The statistical CFT Wightman function can be computed from a geodesic between the two…

High Energy Physics - Theory · Physics 2018-09-05 Aurelio Romero-Bermúdez , Philippe Sabella-Garnier , Koenraad Schalm

The nonlinear realization of conformal so(2,d) symmetry for relativistic systems and the dynamical conformal so(2,1) symmetry of nonrelativistic systems are investigated in the context of AdS/CFT correspondence. We show that the massless…

High Energy Physics - Theory · Physics 2026-02-25 Carlos Leiva , Mikhail S. Plyushchay

Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory (CFT). The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a spacelike…

High Energy Physics - Theory · Physics 2016-11-17 Curtis T. Asplund , Nele Callebaut , Claire Zukowski

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this…

High Energy Physics - Theory · Physics 2008-11-26 Tatsuo Azeyanagi , Tatsuma Nishioka , Tadashi Takayanagi

We present the complete family of solutions of 3D gravity (Lambda<0) with two asymptotically AdS exterior regions. The solutions are constructed from data at the two boundaries, which correspond to two independent and arbitrary stress…

High Energy Physics - Theory · Physics 2015-06-19 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam

We study the momentum space representation of energy-momentum tensor two-point functions on a space with a planar boundary in $d=3$. We show that non-conservation of momentum in the direction perpendicular to the boundary allows for new…

High Energy Physics - Theory · Physics 2018-11-14 Vladimir Prochazka

We substantiate a covariant proposal for the holographic reflected entropy in $CFT$s dual to non-static $AdS$ geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the…

High Energy Physics - Theory · Physics 2022-12-27 Mir Afrasiar , Himanshu Chourasiya , Vinayak Raj , Gautam Sengupta

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This has motivated extending the principles of the anti-de Sitter (AdS) space/ conformal field theory (CFT)…

High Energy Physics - Theory · Physics 2024-07-22 S. E. Aguilar-Gutierrez

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Shahar Hod

We show that weak-coupled two-dimensional dilaton gravity on Anti-de Sitter space can be described by the dynamics of an open string. Neumann and Dirichlet boundary conditions for the string lead to two different realizations of the Anti-de…

High Energy Physics - Theory · Physics 2009-10-31 Mariano Cadoni , Marco Cavaglia'

We consider Kerr-Newman-AdS-dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary…

High Energy Physics - Theory · Physics 2011-08-03 Jorgen Rasmussen

We study real-time correlators in the Kerr/CFT correspondence. The near-horizon geometry of extreme and near-extremal Kerr black holes can be taken as warped spacetimes with the warping factors depending on the transverse radius and the…

High Energy Physics - Theory · Physics 2015-05-18 Bin Chen , Chong-Sun Chu

We consider holographic duals of $2$-dimensional conformal field theories in the presence of a boundary, interface, defect and/or junction, referred to collectively as BCFTs. In general, the presence of a boundary reduces the $SO(2,2)$…

High Energy Physics - Theory · Physics 2015-06-18 John Estes

The AdS/CFT correspondence relates certain strongly coupled CFTs with large effective central charge $c_\text{eff}$ to semi-classical gravitational theories with AdS asymptotics. We describe recent progress in understanding gravity duals…

High Energy Physics - Theory · Physics 2014-03-05 Donald Marolf , Mukund Rangamani , Toby Wiseman

It is shown that the hidden conformal symmetry, namely $SO(2,2) \sim SL(2,R)_L \times SL(2,R)_R$ symmetry, of the non-extremal dyonic Reissner-Nordstr\"om black hole can be probed by a charged massless scalar field at low frequencies. The…

High Energy Physics - Theory · Physics 2011-06-23 Chiang-Mei Chen , Ying-Ming Huang , Jia-Rui Sun , Ming-Fan Wu , Shou-Jyun Zou

These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

High Energy Physics - Theory · Physics 2026-02-04 Gopal Yadav

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual…

High Energy Physics - Theory · Physics 2015-11-10 Mir Faizal , Ahmed Farag Ali , Ali Nassar

The horizon of a static black hole in Anti-deSitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan

We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying Segal's axioms for two-dimensional CFT. (In the definition of higher-dimensional CFT one includes also a condition of existence of energy-momentum tensor.) We use…

High Energy Physics - Theory · Physics 2016-07-20 Albert Schwarz

We reconsidered the quantum gravity description of the near horizon extremal Reissner-Nordstr{\o}m black hole in the viewpoint of the AdS$_2$/CFT$_1$ correspondence. We found that, for pure electric case, the right moving central charge of…

High Energy Physics - Theory · Physics 2010-01-22 Chiang-Mei Chen , Jia-Rui Sun , Shou-Jyun Zou
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