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We study the topologically massive gravity with a negative cosmological constant on AdS$_2$ spacetimes by making use of dimensional reduction. For a constant dilaton, this two-dimensional model admits three AdS$_2$ vacuum solutions, which…

High Energy Physics - Theory · Physics 2009-06-19 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

We revisit the description of the space of asymptotically AdS3 solutions of pure gravity in three dimensions with a negative cosmological constant as a collection of coadjoint orbits of the Virasoro group. Each orbit corresponds to a set of…

High Energy Physics - Theory · Physics 2015-06-19 Alan Garbarz , Mauricio Leston

In this paper we study the Generalized Minimal Massive Gravity (GMMG) in asymptotically $AdS_3$ background. The generalized minimal massive gravity theory is realized by adding the CS deformation term, the higher derivative deformation…

High Energy Physics - Theory · Physics 2015-12-09 M. R. Setare

Starting from the isomorphism between the AdS Carroll and Poincar\'e algebras, we map the three-dimensional asymptotically flat solutions of Poincar\'e gravity into an AdS Carroll spacetime. We show the mapped solutions satisfy the field…

High Energy Physics - Theory · Physics 2024-09-20 Luis Avilés , Joaquim Gomis , Diego Hidalgo , Omar Valdivia

In this note we study the properties of linearized gravitational excitations in the new massive gravity theory in asymptotically $AdS_3$ spacetime and find that there is also a critical point for the mass parameter at which massive…

High Energy Physics - Theory · Physics 2009-05-01 Yan Liu , Ya-Wen Sun

The Generalized Minimal Massive Gravity (GMMG) theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. In the present…

High Energy Physics - Theory · Physics 2016-03-23 M. R. Setare , H. Adami

We review the status of three-dimensional "general massive gravity" (GMG) in its linearization about an anti-de Sitter (adS) vacuum, focusing on critical points in parameter space that yield generalizations of "chiral gravity". We then show…

High Energy Physics - Theory · Physics 2011-09-28 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend

Asymptotic symmetries of AdS$_4$ quantum gravity and gauge theory are derived by coupling the dual CFT$_3$ to Chern-Simons gauge theory and 3D gravity in a "probe" large-level limit. The infinite-dimensional symmetries are shown to arise…

High Energy Physics - Theory · Physics 2018-02-14 Rashmish K. Mishra , Raman Sundrum

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

New chiral boundary conditions are found for quantum gravity with matter on AdS3. The associated asymptotic symmetry group is generated by a single right-moving U(1) Kac-Moody-Virasoro algebra with c_R = 3l/2G. The Kac-Moody zero mode…

High Energy Physics - Theory · Physics 2015-06-15 Geoffrey Compère , Wei Song , Andrew Strominger

We consider critical gravity in three dimensions; that is, the New Massive Gravity theory formulated about Anti-de Sitter (AdS) space with the specific value of the graviton mass for which it results dual to a two-dimensional conformal…

High Energy Physics - Theory · Physics 2014-05-08 Alan Garbarz , Gaston Giribet , Andrés Goya , Mauricio Leston

Recently a new three-dimensional theory of gravity, dubbed Exotic Massive Gravity, was proposed as a unitary theory both in the bulk as well as in the dual CFT. This is the second simplest example, the first being Minimal Massive Gravity.…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Robert B. Mann , Julio Oliva , S. N. Sajadi

We study exact solutions of three-dimensional gravity with a cosmological constant and a gravitational Chern-Simons term: the theory known as topologically massive gravity. After reviewing the algebraic classification, we show that if a…

High Energy Physics - Theory · Physics 2014-11-20 David D. K. Chow , C. N. Pope , Ergin Sezgin

AdS3 vacua of topologically massive gravity (TMG) have been shown to be perturbatively unstable for all values of the coupling constant except the chiral point \mu l=1. We study the possibility that the warped vacua of TMG, which exist for…

High Energy Physics - Theory · Physics 2009-11-09 Dionysios Anninos , Mboyo Esole , Monica Guica

We revisit the construction in four-dimensional gauged $Spin(4)$ supergravity of the holographic duals to topologically twisted three-dimensional $\mathcal{N}=4$ field theories. Our focus in this paper is to highlight some subtleties…

High Energy Physics - Theory · Physics 2022-02-03 Pietro Benetti Genolini , Matan Grinberg , Paul Richmond

This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Virinchi Rallabhandi

We discuss AdS$_2$ quantum gravity from an unconventional perspective that emphasizes bulk geometry. In our approach, AdS$_2$ has no boundary, there are no divergences that require renormalization, and the dilaton of JT-gravity can be…

High Energy Physics - Theory · Physics 2023-02-28 Sangmin Choi , Finn Larsen

We consider three-dimensional Einstein gravity in Euclidean signature with a finite boundary of torus topology endowed with an induced metric of fixed conformal class and a constant trace of extrinsic curvature $K$. For vanishing, positive,…

High Energy Physics - Theory · Physics 2026-05-11 Weam Abou Hamdan , Chawakorn Maneerat

Naively applying holographic duality to gapped gravity on Anti de Sitter (AdS) space seems to suggest that the stress tensor of the field theory dual cannot be conserved. On the other hand, by symmetry arguments, it seems that the dual…

High Energy Physics - Theory · Physics 2015-12-30 Sophia K. Domokos , Gregory Gabadadze

We study a new class of solutions of three-dimensional topological massive gravity. These solutions can be taken as non-extremal black holes, with their extremal counterparts being discrete quotients of spacelike warped AdS$_3$ along the…

High Energy Physics - Theory · Physics 2011-03-29 Bin Chen , Bo Ning