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We examine the connection between three dimensional gravity with negative cosmological constant and two-dimensional CFT via the Chern-Simons formulation. A set of generalized spectral flow transformations are shown to yield new sectors of…

High Energy Physics - Theory · Physics 2009-11-07 Jens Fjelstad , Stephen Hwang

We describe three-dimensional Kerr-de Sitter space using similar methods as recently applied to the BTZ black hole. A rigorous form of the classical connection between gravity in three dimensions and two-dimensional conformal field theory…

High Energy Physics - Theory · Physics 2009-11-07 Jens Fjelstad , Stephen Hwang , Teresia Mansson

In three dimensional spacetime with negative cosmology constant, the general relativity can be written as two copies of SO$(2,1)$ Chern-Simons theory. On a manifold with boundary the Chern-Simons theory induces a conformal field theory--WZW…

General Relativity and Quantum Cosmology · Physics 2018-11-22 Jingbo Wang , Chao-Guang Huang

In this article, we revisit the spectrum of the Lorentzian BTZ black hole conformal field theory. Building on a detailed analysis of geodesics, we identify a complete set of states for the harmonic analysis. We then demonstrate that the CFT…

High Energy Physics - Theory · Physics 2022-01-11 Omkar Vinayak Nippanikar , Aditya Sharma , K. P. Yogendran

We discuss in detail the properties of gravity with a negative cosmological constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze the problem of computing the BTZ entropy, and show how the demand of unitarity and…

High Energy Physics - Theory · Physics 2009-11-10 Jan Troost , Asato Tsuchiya

We study quantum gravity on $dS_{3}$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $dS_{3}$ in a Euclidean path integral approach. We show…

High Energy Physics - Theory · Physics 2009-11-07 T. R. Govindarajan , R. K. Kaul , V. Suneeta

We study classical solutions of three dimensional higher spin gravity in the Chern-Simons formulation. We find solutions that generalize the BTZ black hole and carry spin-3 charge. The black hole entropy formula yields a result for the…

High Energy Physics - Theory · Physics 2015-05-27 Michael Gutperle , Per Kraus

We construct and discuss solutions of SO(1,2) x SO(1,2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a…

High Energy Physics - Theory · Physics 2009-10-31 Teresia Mansson , Bo Sundborg

We examine a Chern-Simons matrix model which we propose as a toy model for studying the quantum nature of black holes in 2+1 gravity. Its dynamics is described by two $N\times N$ matrices, representing the two spatial coordinates. The model…

High Energy Physics - Theory · Physics 2015-06-16 A. Chaney , Lei Lu , A. Stern

We review some aspects of three-dimensional quantum gravity with emphasis in the `CFT -> Geometry' map that follows from the Brown-Henneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter…

High Energy Physics - Theory · Physics 2009-10-31 Maximo Banados

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of $U(1,1)\times U(1,1)$ Chern-Simons theory…

High Energy Physics - Theory · Physics 2009-01-13 Ee Chang-Young

We discuss several aspects of the proposed correspondence between quantum gravity on de Sitter spaces and Euclidean conformal field theories. The central charge appearing in the asymptotic symmetry algebra of three-dimensional de Sitter…

High Energy Physics - Theory · Physics 2009-11-07 Dietmar Klemm

We introduce a new coupling between stress tensors of the CFTs living on the two boundaries of the BTZ black hole. Similar to the $T \bar{T}$-deformation, the system exhibits universal properties and is solvable. The resulting geometry is…

High Energy Physics - Theory · Physics 2020-08-10 Adam Bzowski

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal

We consider a class of tripartite systems for which two $d$-dimensional QFTs are cross-coupled via a third $d+1$-dimensional "messenger" QFT. We analyse in detail the example of a pair of one-dimensional matrix quantum mechanics, coupled…

High Energy Physics - Theory · Physics 2022-03-09 Panos Betzios , Elias Kiritsis , Olga Papadoulaki

We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to additional asymptotic regions. If this extension survives in the…

High Energy Physics - Theory · Physics 2020-07-15 Vijay Balasubramanian , Arjun Kar , Gábor Sárosi

We study the collision between a BTZ black hole and a test particle coupled to a scalar field. We compute the power spectrum, the energy radiated and the plunging waveforms for this process. We show that for late times the signal is…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

Based on the equivalence between the three dimensional gravity and the Chern-Simons theory, we obtain a noncommutative BTZ black hole solution as a solution of $U(1,1)\times U(1,1)$ noncommutative Chern-Simons theory using the…

High Energy Physics - Theory · Physics 2009-09-28 Ee Chang-Young , Daeho Lee , Youngone Lee

Unlike three-dimensional Einstein gravity, three-dimensional massive gravity admits asymptotically de Sitter space (dS) black hole solutions. These black holes present interesting features and provide us with toy models to study the dS/CFT…

High Energy Physics - Theory · Physics 2015-06-17 Sophie de Buyl , Stephane Detournay , Gaston Giribet , Gim Seng Ng
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