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It was shown by Brown and Henneaux that the classical theory of gravity on AdS_3 has an infinite-dimensional symmetry group forming a Virasoro algebra. More recently, Giveon, Kutasov and Seiberg (GKS) constructed the corresponding Virasoro…

High Energy Physics - Theory · Physics 2009-10-31 Jan de Boer , Hirosi Ooguri , Harlan Robins , Jonathan Tannenhauser

We show that two-dimensional (2D) AdS gravity induces on the spacetime boundary a conformally invariant dynamics that can be described in terms of a de Alfaro-Fubini-Furlan model coupled to an external source with conformal dimension two.…

High Energy Physics - Theory · Physics 2009-10-31 M. Cadoni , P. Carta , D. Klemm , S. Mignemi

In light of recent developments in nearly AdS$_2$ holography, we revisit the semi-classical version of two-dimensional dilaton gravity proposed by Callan, Giddings, Harvey, and Strominger (CGHS) in the early 90's. In distinction to the…

High Energy Physics - Theory · Physics 2020-02-19 Shinji Hirano , Yang Lei

I analyze the asymptotic symmetries of a theory of gravity in a background consisting of two patches of ${\rm AdS}_3$ spacetime glued together along an ${\rm AdS}_2$ brane. These are generated by a single Virasoro algebra, as expected from…

High Energy Physics - Theory · Physics 2007-05-23 C. Bachas

A two-dimensional (2D) scalar-tensor gravity theory is used to describe the near-horizon near-extremal behavior of black 3-branes solutions of type IIB string theory. The asymptotic symmetry group of the 2D, asymptotically anti de Sitter…

High Energy Physics - Theory · Physics 2009-11-10 M. Cadoni

Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$ and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the…

High Energy Physics - Theory · Physics 2009-04-17 Thomas Hartman , Andrew Strominger

We construct a unitary, modular-invariant torus partition function of a two-dimensional conformal field theory with a Virasoro primary spectral gap of $\Delta_* = \frac{c-1}{12}$ above the vacuum. The twist gap is identical, apart from two…

High Energy Physics - Theory · Physics 2023-08-04 Gabriele Di Ubaldo , Eric Perlmutter

Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a study based on a {\it different}…

High Energy Physics - Theory · Physics 2009-07-22 Arjun Bagchi , Rajesh Gopakumar

We investigate the asymptotic dynamics of topological anti-de Sitter supergravity in two dimensions. Starting from the formulation as a BF theory, it is shown that the AdS_2 boundary conditions imply that the asymptotic symmetries form a…

High Energy Physics - Theory · Physics 2009-11-07 Marco Astorino , Sergio Cacciatori , Dietmar Klemm , Daniela Zanon

We study a new contraction of a d+1 dimensional relativistic conformal algebra where n+1 directions remain unchanged. For n=0,1 the resultant algebras admit infinite dimensional extension containing one and two copies of Virasoro algebra,…

High Energy Physics - Theory · Physics 2009-08-11 Mohsen Alishahiha , Ali Davody , Ali Vahedi

We study three-dimensional consistent truncations of type IIB supergravity which admit warped AdS$_3$ solutions. These theories contain subsectors that have no bulk dynamics. We show that the symplectic form for these theories, when…

High Energy Physics - Theory · Physics 2015-06-22 Geoffrey Compère , Monica Guica , Maria J. Rodriguez

A model for 2D Quantum Gravity is constructed out of the Virasoro group. To this end the quantization of the abstract Virasoro group is revisited. For the critical values of the conformal anomaly c, some quantum operators (SL(2,R)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Aldaya , J. L. Jaramillo

In a series of recent papers, a special kind of AdS$_2$/CFT$_1$ duality was observed: the boundary correlators of elementary fields that appear in the Lagrangian of a 2d conformal theory in rigid AdS$_2$ background are the same as the…

High Energy Physics - Theory · Physics 2020-02-25 Matteo Beccaria , Hongliang Jiang , Arkady A. Tseytlin

We investigate the near-horizon limit of extremally rotating NS5-branes. The resulting geometry has SL(2,R) \times U(1)^2 isometry. The asymptotic symmetry group contains a chiral Virasoro algebra, and we obtain two different realizations…

High Energy Physics - Theory · Physics 2009-03-24 Yu Nakayama

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

We compute the off-shell spectrum of supergravity on AdS$_2\times S^2$ by explicit diagonalization of the equations of motion for an effective AdS$_2$ theory where all fields are dualized to scalars and spin-${1\over 2}$ fermions.…

High Energy Physics - Theory · Physics 2015-05-06 Finn Larsen , Pedro Lisbao

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

We (numerically) construct new static, asymptotically AdS solutions where the conformal infinity is the product of time and S^2 x S^1. There always exist a family of solutions in which the S^1 is not contractible and, for small S^1, there…

High Energy Physics - Theory · Physics 2009-11-11 Keith Copsey , Gary T. Horowitz

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS_2 x S^2 is found and shown to consist of two infinite towers of SU(1,1|2) representations. In addition to `pure gauge' modes living on the boundary of AdS which are…

High Energy Physics - Theory · Physics 2010-02-03 Jeremy Michelson , Marcus Spradlin

We discuss AdS$_2$ quantum gravity from an unconventional perspective that emphasizes bulk geometry. In our approach, AdS$_2$ has no boundary, there are no divergences that require renormalization, and the dilaton of JT-gravity can be…

High Energy Physics - Theory · Physics 2023-02-28 Sangmin Choi , Finn Larsen
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