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In this work, we build the most general boundary conditions for $\mathcal N=\left(1,1\right)$ and $\mathcal N=\left(2,2\right)$ extended supergravity. We show that for the loosest set of boundary conditions, their asymptotic symmetry…

High Energy Physics - Theory · Physics 2019-03-06 C. E. Valcárcel

Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern-Simons theory with a gauge group $SL(2,R) \times SL(2,R)$ on a space-time…

General Relativity and Quantum Cosmology · Physics 2009-10-28 O. Coussaert , M. Henneaux , P. van Driel

We provide boundary conditions for three-dimensional gravity including boosted Rindler spacetimes, representing the near-horizon geometry of non-extremal black holes or flat space cosmologies. These boundary conditions force us to make some…

High Energy Physics - Theory · Physics 2016-05-04 Hamid Afshar , Stéphane Detournay , Daniel Grumiller , Blagoje Oblak

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking…

High Energy Physics - Theory · Physics 2018-05-30 Arjun Bagchi , Rudranil Basu , Stéphane Detournay , Pulastya Parekh

In this work a new set of boundary conditions for Chern Simons gravity that lead to a fully gauge invariant action is analyzed. This particular form of the action reproduces the standard results of black hole thermodynamics and determines…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rodrigo Aros

We obtain 2 + 1 dimensional gravity with cosmological constant which is coupled to gauge fields, using Maxwell and semi-simple extension of the Poincare gauge symmetric models (i.e. Chern-Simons models with these gauge groups). Also, we…

High Energy Physics - Theory · Physics 2015-06-18 S. Hoseinzadeh , A. Rezaei-Aghdam

We investigate the asymptotic symmetries of three-dimensional AdS Einstein gravity in the Weyl-Fefferman-Graham gauge, which is a generalization of the Fefferman-Graham gauge inducing a Weyl connection as part of the boundary structure. We…

High Energy Physics - Theory · Physics 2023-12-15 Luca Ciambelli , Arnaud Delfante , Romain Ruzziconi , Céline Zwikel

We discuss an enhancement of the Brown-Henneaux boundary conditions in three-dimensional AdS General Relativity to encompass Weyl transformations of the boundary metric. The resulting asymptotic symmetry algebra, after a field-dependent…

High Energy Physics - Theory · Physics 2021-10-13 Francesco Alessio , Glenn Barnich , Luca Ciambelli , Pujian Mao , Romain Ruzziconi

Carroll symmetry arises from Poincar\'e symmetry when the speed of light is sent to zero. In this work, we apply the Lie algebra expansion method to find the Carroll versions of different gravity models in three space-time dimensions. Our…

High Energy Physics - Theory · Physics 2025-01-03 Patrick Concha , Evelyn Rodríguez , Sebastián Salgado

Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions…

High Energy Physics - Theory · Physics 2015-06-15 Glenn Barnich , Hernan Gonzalez

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

The path integral of pure 3D gravity with negative cosmological constant is formulated on a finite region of spacetime $M$, with boundary conditions that fix geodesic lengths or dihedral angles on $\partial M$. In the dual CFT, this…

High Energy Physics - Theory · Physics 2025-07-18 Thomas Hartman

We consider null warped AdS(3) solutions of three-dimensional gravity coupled to a massive vector field. We isolate a certain set of non-propagating solutions to the equations of motion, which we argue are the ones relevant for…

High Energy Physics - Theory · Physics 2015-06-03 Monica Guica

The properties of the asymptotic $AdS_3$ space-times representing flat domain walls (DW's) solutions of the New Massive 3D Gravity with scalar matter are studied. Our analysis is based on $I^{st}$ order BPS-like equations involving an…

High Energy Physics - Theory · Physics 2014-11-21 U. Camara dS , G. M. Sotkov

It is shown, at the level of the classical action, that the Wess-Zumino-Witten-Novikov model is equivalent to a combined BF theory and a Chern-Simons action in the presence of a unique boundary term. This connection relies on the techniques…

High Energy Physics - Theory · Physics 2009-10-31 N. Mohammedi

We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as…

High Energy Physics - Theory · Physics 2017-02-16 Clifford Cheung , Anton de la Fuente , Raman Sundrum

We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be…

High Energy Physics - Theory · Physics 2021-01-05 Stéphane Detournay , Wout Merbis , Gim Seng Ng , Raphaela Wutte

Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by $G$ and $\Lambda$. As a consequence, correlation functions of the boundary stress tensor in AdS$_3$ are uniquely fixed in terms of one…

High Energy Physics - Theory · Physics 2022-08-31 Stephen Ebert , Eliot Hijano , Per Kraus , Ruben Monten , Richard M. Myers

We study 3-dimensional gravity on a spacetime bounded by a generic 2-dimensional causal surface. We review the solution phase space specified by 4 generic functions over the causal boundary, construct the symplectic form over the solution…

High Energy Physics - Theory · Physics 2023-07-26 H. Adami , A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

Using the Chern-Simon formulation of (2+1) gravity, we derive, for the general asymptotic metrics given by the Fefferman-Graham-Lee theorems, the emergence of the Liouville mode associated to the boundary degrees of freedom of (2+1)…

High Energy Physics - Theory · Physics 2007-05-23 M. Rooman , Ph. Spindel
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