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The asymptotic structure of three-dimensional Carroll gravity with negative cosmological constant is studied. We formulate a consistent set of boundary conditions preserved by an infinite-dimensional extension of the AdS$_3$ Carroll…

High Energy Physics - Theory · Physics 2025-06-25 Luis Avilés , Oscar Fuentealba , Diego Hidalgo , Pablo Rodríguez

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a…

High Energy Physics - Theory · Physics 2015-06-22 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

The holographic description of the three-dimensional Kerr-de Sitter space with a gravitational Chern-Simons term is studied, in the context of dS/CFT correspondence. The space has only one (cosmological) event horizon and its mass and…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

Flat spacetimes are foliated by hyperbolic slices that are geometrically three-dimensional de Sitter or anti-de Sitter spaces. As such, it is possible to construct flat space holographic dualities by applying the AdS/CFT bulk-to-boundary…

High Energy Physics - Theory · Physics 2026-05-06 Walker Melton

Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field…

High Energy Physics - Theory · Physics 2023-07-04 Arjun Bagchi , Saikat Mondal , Sanchari Pal , Max Riegler

We review various off-shell formulations for interacting higher-spin systems in dimensions 3 and 4. Associated with higher-spin systems in spacetime dimension 4 is a Chern-Simons action for a superconnection taking its values in a direct…

Using a holographic prescription for the Schwinger-Keldysh closed time path, we derive the effective action for a dissipative neutral fluid holographically described by the Einstein gravity in an asymptotic AdS spacetime. In the saddle…

High Energy Physics - Theory · Physics 2025-09-22 Yanyan Bu , Xiyang Sun

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 the AdS$_3$/CFT$_2$ framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems,…

High Energy Physics - Theory · Physics 2024-06-26 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point…

High Energy Physics - Theory · Physics 2015-06-30 Simón del Pino , Gaston Giribet , Adolfo Toloza , Jorge Zanelli

The classical boundary-value problem of the Einstein field equations is studied with an arbitrary cosmological constant, in the case of a compact ($S^{3}$) boundary given a biaxial Bianchi-IX positive-definite three-metric, specified by two…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. M. Akbar , P. D. D'Eath

We study the Hamiltonian for a system of three identical bosons in dimension three interacting via zero-range forces. In order to avoid the fall to the center phenomenon emerging in the standard Ter-Martirosyan--Skornyakov (TMS)…

Mathematical Physics · Physics 2022-08-08 Giulia Basti , Claudio Cacciapuoti , Domenico Finco , Alessandro Teta

We perform a complete and systematic analysis of the solution space of six-dimensional Einstein gravity. We show that a particular subclass of solutions -- those that are analytic near $\mathcal{I}^+$ -- admit a non-trivial action of the…

High Energy Physics - Theory · Physics 2023-11-27 Federico Capone , Prahar Mitra , Aaron Poole , Bilyana Tomova

Three-dimensional gravity with a minimally coupled self-interacting scalar is considered. The fall-off of the fields at infinity is assumed to be slower than that of a localized distribution of matter, so that the asymptotic symmetry group…

High Energy Physics - Theory · Physics 2009-11-10 Jack Gegenberg , Cristian Martinez , Ricardo Troncoso

We propose a mechanism that couples matter fields to three-dimensional quantum gravity, which can be used for theories with a positive or negative cosmological constant. Our proposal is rooted in the Chern-Simons formulation of…

High Energy Physics - Theory · Physics 2023-04-07 Alejandra Castro , Ioana Coman , Jackson R. Fliss , Claire Zukowski

A field theory on a three-dimensional manifold is introduced, whose field equations are the constraint equations for general relativity on a three-dimensional null hypersurface. The underlying boundary action consists of two copies of the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Wolfgang Wieland

We compute the one-loop beta functions of the cosmological constant, Newton's constant and the topological mass in topologically massive supergravity in three dimensions. We use a variant of the proper time method supplemented by a simple…

High Energy Physics - Theory · Physics 2015-06-12 R. Percacci , M. J. Perry , C. N. Pope , E. Sezgin

In this paper we analyze the asymptotic symmetries of the three-dimensional Chern-Simons supergravity for a supersymmetric extension of the semi-simple enlargement of the Poincar\'e algebra, also known as AdS-Lorentz superalgebra, which is…

High Energy Physics - Theory · Physics 2023-10-26 Javier Matulich , Evelyn Rodríguez

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The…

High Energy Physics - Theory · Physics 2015-06-05 Olaf Hohm , Alasdair Routh , Paul K. Townsend , Baocheng Zhang

We present a quantization of unimodular gravity in the connection representation for a homogeneous, isotropic, and spatially flat cosmological model without matter. In this model, the wave function is governed by a Schr\"odinger-type…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Shinji Yamashita
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