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The AdS/CFT correspondence provides a new perspective on recurrent questions in General Relativity such as the allowed boundary conditions at infinity and the definition of gravitational conserved charges. Here we review the main insights…

High Energy Physics - Theory · Physics 2015-05-14 Kostas Skenderis , Marika Taylor , Balt C. van Rees

We propose a class of AdS/CFT dual pairs which have small internal dimensions on the gravity side. Starting from known Freund-Rubin AdS/CFT dual pairs, we use 7-branes to nearly cancel the curvature energy of the internal dimensions while…

High Energy Physics - Theory · Physics 2011-08-04 Joseph Polchinski , Eva Silverstein

We discuss the holographic correspondence between 3d "Chern-Simons gravity" and an ensemble of 2d Narain code CFTs. Starting from 3d abelian Chern-Simons theory, we construct an ensemble of boundary CFTs defined by gauging all possible…

High Energy Physics - Theory · Physics 2025-12-12 Anatoly Dymarsky , Johan Henriksson , Brian McPeak

4D Lorentzian conformal field theory (CFT) is mapped into 5D anti-de Sitter spacetime (AdS), from the viewpoint of "geometrizing" conformal current algebra. A large-N expansion of the CFT is shown to lead to (infinitely many) weakly coupled…

High Energy Physics - Theory · Physics 2013-05-30 Raman Sundrum

We show that there is a dual description of conformal blocks of $d=2$ rational CFT in terms of Hecke eigenfields and eigensheaves. In particular, partition functions, conformal characters and lattice theta functions may be reconstructed…

High Energy Physics - Theory · Physics 2021-06-24 Igor Yu. Potemine

Pure 3d gravity in AdS is believed to admit a holographic description in terms of 2d CFT. We introduce a theory of fermionic 3d gravity where we sum over geometries equipped with spin structure, and propose it is holographically described…

High Energy Physics - Theory · Physics 2026-03-16 Jan Boruch , Elisa Tabor , Gustavo J. Turiaci

We construct maximally supersymmetric gauged N=16 supergravity in three dimensions, thereby obtaining an entirely new class of AdS supergravities. These models are not derivable from any known higher-dimensional theory, indicating the…

High Energy Physics - Theory · Physics 2009-10-31 H. Nicolai , H. Samtleben

Recently a new three-dimensional theory of gravity, dubbed Exotic Massive Gravity, was proposed as a unitary theory both in the bulk as well as in the dual CFT. This is the second simplest example, the first being Minimal Massive Gravity.…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Robert B. Mann , Julio Oliva , S. N. Sajadi

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of…

High Energy Physics - Theory · Physics 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler

We study self-gravitating solutions of 3-dimensional massive gravity coupled to Yang-Mills-Chern-Simons gauge theory. Among these, there is a family of asymptotically Warped-Anti de Sitter black holes that come to generalize previous…

High Energy Physics - Theory · Physics 2024-09-30 Cristóbal Corral , Daniel Flores-Alfonso , Gastón Giribet , Julio Oliva

Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial…

High Energy Physics - Theory · Physics 2023-05-17 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

Using the AdS-CFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitly solving the Dirichlet boundary value problem for $x_0=\epsilon$. We consider this treatment…

High Energy Physics - Theory · Physics 2016-09-06 W. Mück , K. S. Viswanathan

In conformal field theories (CFTs) of dimension $d>3$, two-dimensional (2d) conformal defects are characterised in part by central charges defined via the defect's contribution to the trace anomaly. However, in general for interacting CFTs…

High Energy Physics - Theory · Physics 2020-06-24 Adam Chalabi , Andy O'Bannon , Brandon Robinson , Jacopo Sisti

A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a $U(1)$ symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFT) parametrized by the gauge coupling…

High Energy Physics - Theory · Physics 2019-06-26 Lorenzo Di Pietro , Davide Gaiotto , Edoardo Lauria , Jingxiang Wu

We explore the large-N limits of 2d CFTs, focusing mostly on WZW models and their cosets. The $SU(N)_k$ theory is parametrized in this limit by a 't Hooft-like coupling. We show a duality between strong coupling, where the theory is…

High Energy Physics - Theory · Physics 2013-08-19 Elias Kiritsis , Vasilis Niarchos

AdS/CFT is a conjectured equivalence between a field theory without gravity (conformal field theory) and a string theory in a special curved background (anti de-Sitter space), where theories on both sides of the equivalence is…

High Energy Physics - Theory · Physics 2017-05-02 Shibaji Roy

Various massive gravity theories in three dimensions are conjecturally dual to logarithmic conformal field theories (LCFTs). We summarise the status of these conjectures. LCFTs are characterised by the values of the central charges and the…

High Energy Physics - Theory · Physics 2011-08-17 Daniel Grumiller , Niklas Johansson , Thomas Zojer

What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large"…

High Energy Physics - Theory · Physics 2019-11-14 Luis F. Alday , Eric Perlmutter

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

We discuss spectra of $AdS_3$ supergravities, arising in the near horizon geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16 supercharges. These include models studied in a recent paper (hep-th/0012118), where…

High Energy Physics - Theory · Physics 2016-09-06 E. Gava , A. B. Hammou , J. F. Morales , K. S. Narain