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Three-dimensional gravity in Anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the…

High Energy Physics - Theory · Physics 2011-08-02 Ricardo Couso Santamaria , Jose D. Edelstein , Alan Garbarz , Gaston Giribet

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

General Relativity and Quantum Cosmology · Physics 2010-08-10 D. R. Grigore , G. Scharf

We relate the geometrical and the Chern-Simons description of (2+1)-dimensional gravity for spacetimes of topology $R\times S_g$, where $S_g$ is an oriented two-surface of genus $g>1$, for Lorentzian signature and general cosmological…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Meusburger

We consider the cosmological implications of a gravitational theory containing two vector fields coupled minimally to gravity as well as a generalized Chern-Simons term that couples the two vector fields. One of the vector fields is the…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Zahra Haghani , Tiberiu Harko , Shahab Shahidi

We examine the black hole solutions of dS$_3$ gravity by applying the explicit dS$_3$/CFT$_2$ correspondence. The gravity theory is described by Chern-Simons theory with complex gauge group SL$(2,\mathbb{C})$, and the complexified theory is…

High Energy Physics - Theory · Physics 2023-08-31 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

The dual relationship between the supergravity in the anti-de Sitter(AdS) space and the superconformal field theory is discussed in the simplest form. We show that a topological Ward identity holds in the three dimensional Chern-Simons…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

We present a second order gravity action which consists of ordinary Einstein action augmented by a first-order, vector like, Chern-Simons quasi topological term. This theory is ghost-free and propagates a pure spin-2 mode. It is…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone , P. J. Arias , A. Khoudeir

The theory of a spinor field interacting with a pure Chern-Simons gauge field in 2+1 dimensions is quantized. Dynamical and nondynamical variables are separated in a gauge-independent way. After the nondynamical variables are dropped, this…

High Energy Physics - Theory · Physics 2018-01-17 Qiong-gui Lin

In this paper, the linearized field equations related to the quadratic curvature gravity theory have been obtained in the four-dimensional de Sitter (dS) space-time. The massless spin-2 field equations have been written in terms of the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 M. Dehghani , M. R. Setare

The goal of these notes is to introduce, in a very elementary way, the idea of the anti de-Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)- dimensional…

Strongly Correlated Electrons · Physics 2010-07-01 A S T Pires

We perform a canonical quantization of pure gravity on AdS3 using as a technical tool its equivalence at the classical level with a Chern-Simons theory with gauge group SL(2,R)xSL(2,R). We first quantize the theory canonically on an…

High Energy Physics - Theory · Physics 2015-09-28 Jihun Kim , Massimo Porrati

In this paper we have added Maxwell, Maxwell-Chern-Simons and gravitational Chern-Simons terms to Born-Infeld extended new massive gravity and we have found different types of (non)extremal charged black holes. For each black hole we find…

High Energy Physics - Theory · Physics 2012-06-28 Ahmad Ghodsi , Davood Mahdavian Yekta

We investigate the AdS/CFT interpretation of the class of algebraically special solutions of Einstein gravity with a negative cosmological constant. Such solutions describe a CFT living in a 2+1 dimensional time-dependent geometry that,…

High Energy Physics - Theory · Physics 2014-04-03 Gabriel Bernardi de Freitas , Harvey S. Reall

We review some recent work on AdS/CFT duality involving the 3d O(N) Vector Model and AdS4 Higher Spin Gravity. Our construction is based on bi-local collective field theory which provides an off-shell formulation of Higher Spin Gravity with…

High Energy Physics - Theory · Physics 2015-06-12 Antal Jevicki , Kewang Jin , Qibin Ye

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric…

High Energy Physics - Theory · Physics 2017-11-16 Mohammad Asadi , Omid Baghchesaraei , Reza Fareghbal

In the present article, Chern-Simons gauge theory and its relationship with gravity are revisited from a geometrical viewpoint. In this setting, our goals are twofold: In one hand, to show how to represent the family of variational problems…

Mathematical Physics · Physics 2020-04-24 Santiago Capriotti

We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group $U(1,1)\times U(1,1)$. In addition to a noncommutative analogue of 3D gravity, the theory contains two…

High Energy Physics - Theory · Physics 2009-11-11 A. Pinzul , A. Stern

In (2+1) space-time dimensions the Einstein theory of gravity has no local degrees of freedom. In fact, in the presence of a negative cosmological term, it is described by a (1+1) dimensional theory living on its boundary: Liouville theory.…

General Relativity and Quantum Cosmology · Physics 2013-03-15 Glenn Barnich , Andrés Gomberoff , Hernán A. González

We present a general model of interacting metric fields with the sum of massless non-interacting spin 2 fields as the linear limit. In the non-interacting limit the model is reduced to a sum of general relativity actions, with the usual…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Idan Talshir

We study bimetric gravity through the context of the AdS/CFT correspondence, especially, in the first order hdrodynamic limit. If we put pure general relativity as a bulk field, the boundary field theory is interpreted as fluid of the N = 4…

High Energy Physics - Theory · Physics 2014-07-07 Kouichi Nomura