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We identify an ambiguity in the Chern-Simons formulation of three-dimensional gravity with negative cosmological constant that originates in an outer automorphism of the Lie algebra sl(2,R). It has important consequences for the stability…

High Energy Physics - Theory · Physics 2023-06-30 Lior Benizri , Jan Troost

We study the perturbation theory for three dimensional Chern--Simons quantum field theory on a general compact three manifold without boundary. We show that after a simple change of variables, the action obtained by BRS gauge fixing in the…

High Energy Physics - Theory · Physics 2008-02-03 Scott Axelrod , I. M. Singer

We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra ${\cal K}$ is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded…

High Energy Physics - Theory · Physics 2024-08-20 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm

We investigate the possibility of reducing the number of degrees of freedom (d.o.f.) starting from generic metric theories of gravity by introducing multiple auxiliary constraints (ACs), under the restriction of retaining spatial covariance…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Zhi-Bang Yao , Michele Oliosi , Xian Gao , Shinji Mukohyama

A recent paper [arXiv:0801.4566] claims that topologically massive gravity contains only chiral boundary excitations at a particular value of the Chern-Simons coupling. On the other hand, propagating bulk degrees of freedom were found even…

High Energy Physics - Theory · Physics 2011-02-07 Gaston Giribet , Matthew Kleban , Massimo Porrati

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 2008-11-26 C. Aragone , P. J. Arias , A. Khoudeir

We construct a supergravity-Maxwell theory with a novel embedding of the Fayet-Iliopoulos D-term, leading to spontaneous supersymmetry breaking. The gauging of the R-symmetry is not required and a gravitino mass is allowed for a generic…

High Energy Physics - Theory · Physics 2018-05-09 Niccolò Cribiori , Fotis Farakos , Magnus Tournoy , Antoine Van Proeyen

We introduce a novel reformulation of three-dimensional gravity in terms of divergenceless vector frames, inspired by the double copy for Chern-Simons theory. This formulation is on-shell equivalent to conventional 3D gravity and provides a…

High Energy Physics - Theory · Physics 2026-03-31 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

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

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which…

High Energy Physics - Theory · Physics 2023-03-22 Vahid Taghiloo

Recently was shown that standard odd and even-dimensional General Relativity can be obtained from a $(2n+1)$-dimensional Chern-Simons Lagrangian invariant under the $B_{2n+1}$ algebra and from a $(2n)$-dimensional Born-Infeld Lagrangian…

High Energy Physics - Theory · Physics 2015-06-18 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado

As massive gravity and its extensions offer physically well-defined gravitational theories with a nonzero graviton mass, we present a new extension of the de Rham-Gabadadze-Tolley (dRGT)massive gravity, which is tachyonic massive gravity…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Amin Rezaei Akbarieh , Sobhan Kazempour , Lijing Shao

In this letter, we show that any solution of general relativity (GR) that can be rendered spatially flat by a coordinate change is also a solution of the self-accelerating branch of the minimal theory of massive gravity (MTMG), with or…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Antonio De Felice , François Larrouturou , Shinji Mukohyama , Michele Oliosi

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

High Energy Physics - Theory · Physics 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

The large distance behavior of the Maxwell- Chern-Simons (MCS) equations is analyzed, and it is found that the pure Chern-Simons limit, (when the Maxwell term is dropped from the equations), does not describe the large distance limit of the…

High Energy Physics - Theory · Physics 2008-11-26 Z. Nemeth

We extend previous work on N=2 Chern-Simons theories coupled to a single adjoint chiral superfield using localization techniques and the F-maximization principle. We provide tests of a series of proposed 3D Seiberg dualities and a new class…

High Energy Physics - Theory · Physics 2015-05-30 Takeshi Morita , Vasilis Niarchos

We present a three-dimensional gravitational Born-Infeld theory which reduces to the recently found New Massive Gravity (NMG) at the quadratic level in the small curvature expansion and at the cubic order reproduces the deformation of NMG…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

Non-linear partially massless (PM) gravity, if it exists, is a theory of massive gravity in which the graviton has four propagating degrees of freedom. In PM gravity, a scalar gauge symmetry removes one of the five modes of the massive…

High Energy Physics - Theory · Physics 2013-08-19 Claudia de Rham , Kurt Hinterbichler , Rachel A. Rosen , Andrew J. Tolley