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We have recently introduced a new and very simple action for three-dimensional massive gravity. This action is written in a first order formulation where the triad and the connection play a manifestly symmetric role, but where internal…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Marc Geiller , Karim Noui

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

High Energy Physics - Theory · Physics 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We formulate a noncommutative description of topological half-flat gravity in four dimensions. BRST symmetry of this topological gravity is deformed through a twisting of the usual BRST quantization of noncommutative gauge theories. Finally…

High Energy Physics - Theory · Physics 2009-11-10 H. Garcia-Compean , O. Obregon , C. Ramirez

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical…

High Energy Physics - Theory · Physics 2010-05-12 Daniel Grumiller , Niklas Johansson

Flat space cosmology spacetimes are exact time-dependent solutions of 3-dimensional gravity theories, such as Einstein gravity or topologically massive gravity. We exhibit a novel kind of phase transition between these cosmological…

High Energy Physics - Theory · Physics 2013-11-13 Arjun Bagchi , Stephane Detournay , Daniel Grumiller , Joan Simon

We show that a partially massless graviton can propagate on a large set of spacetimes which are not Einstein spacetimes. Starting from a recently constructed theory for a massive graviton that propagates the correct number of degrees of…

High Energy Physics - Theory · Physics 2018-08-31 Laura Bernard , Cedric Deffayet , Kurt Hinterbichler , Mikael von Strauss

We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure $R^2$ gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions larger…

High Energy Physics - Theory · Physics 2025-06-24 Anamaria Hell , Dieter Lust

In an abelian topologically massive gauge theory, any eigenstate of the Hamiltonian can be decomposed into a factor describing massive propagating gauge bosons and a Chern-Simons wave function describing a set of nonpropagating…

High Energy Physics - Theory · Physics 2010-04-28 M. Asorey , S. Carlip , F. Falceto

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of massive graviton terms for some well-known…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Tuan Q. Do

We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4,…

High Energy Physics - Theory · Physics 2009-10-12 Eunkyung Koh , Sangmin Lee , Sungjay Lee

We discuss some interesting holographical aspects of three-dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, R) \times SL(4, R) Chern-Simons theory. Using a recently found technique, we…

High Energy Physics - Theory · Physics 2015-06-03 H. S. Tan

We formulate a topological theory in six dimensions with gauge group SO(3,3) which reduces to gravity on a four dimensional defect if suitable boundary conditions are chosen. In such a framework we implement the reflection automorphism of…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli , A. M. Boyarsky

The superspace geometry of Chern-Simons forms is shown to be closely related to that of the 3-form multiplet. This observation allows to simplify considerably the geometric structure of supersymmetric Chern-Simons forms and their coupling…

High Energy Physics - Theory · Physics 2009-10-31 Georges Girardi , Richard Grimm

In this paper we will consider the most general quadratic curvature action with infinitely many covariant derivatives of massless gravity in three spacetime dimensions. The action is parity invariant and torsion-free and contains the same…

High Energy Physics - Theory · Physics 2020-05-15 Anupam Mazumdar , Georg Stettinger

We obtain a new 3D gravity model from two copies of parity-odd Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the only local degrees of freedom are two massive spin-2 modes. Unitarity of the model in anti-de…

High Energy Physics - Theory · Physics 2019-07-19 Mehmet Ozkan , Yi Pang , Utku Zorba

We discuss renormalizability of a recently established, massive gravity theory with particular higher derivative terms in three space-time dimensions. It is shown that this massive gravity is certainly renormalizable as well as unitary, so…

High Energy Physics - Theory · Physics 2009-05-29 Ichiro Oda

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

These lectures are intended as a broad introduction to Chern Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant action -in the sense of fiber bundles- in more than three…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Zanelli

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion…

High Energy Physics - Theory · Physics 2017-12-27 Charles Mazuet , Mikhail S. Volkov

Einstein-Strauss Hermitian gravity was recently formulated as a gauge theory where the tangent group is taken to be the pseudo-unitary group instead of the orthogonal group. A Higgs mechanism for massive gravity was also formulated. We…

High Energy Physics - Theory · Physics 2012-11-26 Ali H. Chamseddine , Viatcheslav Mukhanov