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Related papers: AdS$_3$ Pure Gravity and Stringy Unitarity

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2+1-dimensional Anti-deSitter gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Ivo Sachs

We analyse the canonical structure of AdS_3 gravity in terms of the coadjoint orbits of the Virasoro group. There is one subset of orbits, associated to BTZ black hole solutions, that can be described by a pair of chiral free fields with a…

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

We present a detailed analysis of $AdS_3$ gravity, the BTZ black hole and the associated conformal field theories (CFTs). In particular we focus on the non-extreme six-dimensional string solution with background metric $AdS_3 \times S^3$…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Ilka Brunner , Ingo Gaida

We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory. The theory is consistent and unitary by definition. The corresponding theory of gravity with negative cosmological…

High Energy Physics - Theory · Physics 2020-02-19 Songyuan Li , Nicolaos Toumbas , Jan Troost

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester

Using modular bootstrap we show the lightest primary fields of a unitary compact two dimensional conformal field theory(with $c, \bar{c}>1$) has a conformal weight $h_1\le \frac{c}{12}+\mathcal{O}(1)$.This implies that the upper bound on…

High Energy Physics - Theory · Physics 2019-10-23 Maryam Ashrafi

We rewrite the Chern-Simons description of pure gravity on global AdS$_3$ and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of) the path integral quantization of a certain…

High Energy Physics - Theory · Physics 2019-03-27 Jordan Cotler , Kristan Jensen

We consider the entropy problem of AdS_3 black holes using the conformal field theory at the horizon. We observe that the supersymmetry is enhanced at the horizon of massless AdS_3 black hole. This allows us to determine the vacuum of the…

High Energy Physics - Theory · Physics 2010-02-05 Jin-Ho Cho , Soonkeon Nam

AdS$_2$ plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ in the UV, and terminate in the IR with a cap that is singular in two…

High Energy Physics - Theory · Physics 2019-02-05 Iosif Bena , Pierre Heidmann , David Turton

We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius $l$ is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge $c=3l/2G_N$ ($G_N$ is the 3D…

High Energy Physics - Theory · Physics 2020-12-02 Chao-Ming Jian , Andreas W. W. Ludwig , Zhu-Xi Luo , Hao-Yu Sun , Zhenghan Wang

Pure gravity in AdS$_3$ is a theory of boundary excitations, most simply expressed as a constrained free scalar with an improved stress tensor that is needed to match the Brown--Henneaux central charge. Excising a finite part of AdS gives…

High Energy Physics - Theory · Physics 2022-10-19 Per Kraus , Ruben Monten , Konstantinos Roumpedakis

We study the general parity-preserving model of three-dimensional gravity with propagating torsion, with a focus on its nonlinear dynamics in the AdS sector. The model is shown to posses the black hole with torsion as a vacuum solution,…

General Relativity and Quantum Cosmology · Physics 2012-06-21 Milutin Blagojević , Branislav Cvetković

String theory on AdS$_3$ $\times$ S$^3$ $\times$ $\mathcal{M}_4$ provides a well-studied realization of AdS$_3$/CFT$_2$ holography, but its non-perturbative structure at finite $N \sim 1/G_N^{(3)}$ is largely unknown. A long-standing puzzle…

High Energy Physics - Theory · Physics 2025-11-04 Ji Hoon Lee , Wei Li

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of…

High Energy Physics - Theory · Physics 2015-06-19 Alan Garbarz , Mauricio Leston

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant -\ell^{-2} and positive Newton constant G admits an AdS_3 vacuum solution for any value of the graviton mass \mu. These are all known to be…

High Energy Physics - Theory · Physics 2009-04-02 Dionysios Anninos , Wei Li , Megha Padi , Wei Song , Andrew Strominger

We start a systematic study of string theory in AdS_3 black hole backgrounds. Firstly, we analyse in detail the geodesic structure of the BTZ black hole, including spacelike geodesics. Secondly, we study the spectrum for massive and…

High Energy Physics - Theory · Physics 2009-11-07 Jan Troost

String theory on AdS3 space-times with boundary conditions that allow for black hole states has global asymptotic symmetries which include an infinite dimensional conformal algebra. Using the conformal current algebra for sigma-models on…

High Energy Physics - Theory · Physics 2014-11-20 Sujay K. Ashok , Raphael Benichou , Jan Troost

Spacetime Virasoro and affine Lie algebras for strings propagating in AdS3 are known to all orders in $\alpha'$. The central extension of such algebras is a string vertex, whose expectation value can depend on the number of long strings…

High Energy Physics - Theory · Physics 2017-09-13 Jihun Kim , Massimo Porrati

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

We extend the recently proposal of hidden conformal symmetry to the self-dual warped AdS$_3$ black holes in topological massive gravity. It is shown that the wave equation of massive scalar field with sufficient small angular momentum can…

High Energy Physics - Theory · Physics 2011-03-04 Ran Li , Ming-Fan Li , Ji-Rong Ren