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The Chern-Simons formulation of $AdS_3$ supergravity is considered. Asymptotic conditions on the Rarita-Schwinger fields are given. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic algebra…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

High Energy Physics - Theory · Physics 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

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 investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

The asymptotic structure of three-dimensional higher-spin anti-de Sitter gravity is analyzed in the metric approach, in which the fields are described by completely symmetric tensors and the dynamics is determined by the standard…

High Energy Physics - Theory · Physics 2015-03-03 Andrea Campoleoni , Marc Henneaux

We revisit the asymptotically Anti de Sitter spacetimes in three dimensions. Using the conformal-completion technique, we formulate the boundary conditions in a covariant fashion and construct the global charges associated with the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Luca Bombelli , Arif Mohd

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

I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro…

High Energy Physics - Theory · Physics 2011-11-02 Peter Ouyang

We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Liat Maoz , Adam Schwimmer

We consider minimal supergravity on (2+1)dimensional de-Sitter background. We fix the fall-off conditions for gravitini fields in order to fix the asymptotic phase space. Using the Chern-Simons formulation, we then derive the asymptotic…

High Energy Physics - Theory · Physics 2021-01-04 Arindam Bhattacharjee

In a recent paper (JHEP {\bf 1508} (2015) 021), we have investigated hypersymmetry bounds in the context of simple anti-de Sitter hypergravity in $2+1$ dimensions. We showed that these bounds involved non linearly the spin-$2$ and spin-$4$…

High Energy Physics - Theory · Physics 2015-12-31 Marc Henneaux , Alfredo Pérez , David Tempo , Ricardo Troncoso

Building upon known supersymmetric backgrounds, we derive novel half-BPS fermionic solutions in three-dimensional supergravity. By virtue of an essential dependence on fermionic degrees of freedom, they possess no purely bosonic analogue.…

High Energy Physics - Theory · Physics 2017-04-14 N. Houston

Using the canonical formalism, we study the asymptotic symmetries of the topological 3-dimensional gravity with torsion. In the anti-de Sitter sector, the symmetries are realized by two independent Virasoro algebras with classical central…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic

We provide a holographic description of two-dimensional dilaton gravity with Anti-de Sitter boundary conditions. We find that the asymptotic symmetry algebra consists of a single copy of the Virasoro algebra with non-vanishing central…

High Energy Physics - Theory · Physics 2014-02-12 Daniel Grumiller , Mauricio Leston , Dmitri Vassilevich

We obtain a general class of time-dependent, asymptotically de Sitter backgrounds which solve the first order bosonic equations that extremize the action for supergravity with gauged non-compact $R$-symmetry. These backgrounds correspond…

High Energy Physics - Theory · Physics 2009-09-17 Klaus Behrndt , Mirjam Cvetic

We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU$(2)$ WZW model in the critical level limit $k\to -2$, which corresponds to the…

High Energy Physics - Theory · Physics 2022-06-08 Yasuaki Hikida , Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki

The asymptotic symmetry group of three-dimensional (anti) de Sitter space is the two dimensional conformal group with central charge $c=3\ell/2G$. Usually the asymptotic charge algebra is derived using the symplectic structure of the bulk…

High Energy Physics - Theory · Physics 2019-03-27 Mariana Carrillo-Gonzalez , Robert F. Penna

Asymptotically anti-de Sitter spacetimes with Poincare invariance along the boundary can describe, via the AdS/CFT correspondence, either relevant deformations of a conformal field theory or non-conformal vacuum states. I consider examples…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser

We propose a procedure for computing the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities encountered by previous attempts, and correctly reproduces…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus

We investigate new boundary conditions in three-dimensional asymptotically Anti-de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom. This generalization gives rise to an enlarged algebra of…

High Energy Physics - Theory · Physics 2025-09-19 Arnaud Delfante
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