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We examine a recent deformation of three-dimensional anti-deSitter gravity based on noncommutative Chern-Simons theory with gauge group $U(1,1)\times U(1,1)$. In addition to a noncommutative analogue of 3D gravity, the theory contains two…

High Energy Physics - Theory · Physics 2009-11-11 A. Pinzul , A. Stern

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity…

High Energy Physics - Theory · Physics 2020-07-02 Patrick Concha , Marcelo Ipinza , Evelyn Rodríguez

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

A Chern-Simons theory in 11 dimensions, which is a piece of the 11 dimensional supergravity action, is considered as a quantum field theory in its own right. We conjecture that it defines a non-perturbative phase of M theory in which the…

High Energy Physics - Theory · Physics 2008-02-03 Lee Smolin

We consider various models of three-dimensional gravity with torsion or nonmetricity (metric affine gravity), and show that they can be written as Chern-Simons theories with suitable gauge groups. Using the groups ISO(2,1), SL(2,C) or…

High Energy Physics - Theory · Physics 2009-11-11 Sergio L. Cacciatori , Marco M. Caldarelli , Alex Giacomini , Dietmar Klemm , Diego S. Mansi

If the conventional Maxwell--Lorentz formulation of classical electrodynamics is adopted in a flat spacetime of arbitrary odd dimension, then the retarded vector potential $A^\mu$ generated by a point charge turns out to be pure gauge,…

High Energy Physics - Theory · Physics 2011-10-26 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term is shown to be cancelled in…

High Energy Physics - Theory · Physics 2008-11-26 J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

We construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking…

High Energy Physics - Theory · Physics 2009-07-22 Yu Nakayama

There exist two variants of the old minimal formulation for ${\cal N}=1$ supergravity in four dimensions, in which one or each of the two auxiliary scalars is replaced by the field strength of a gauge three-form. These theories are known as…

High Energy Physics - Theory · Physics 2018-01-17 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

Focusing on gauge degrees of freedom specified by a 1+3 dimensions model hosting a Maxwell term plus a Lorentz and CPT non-invariant Chern-Simons-like contribution, we obtain a minimal extension of such a system to a supersymmetric…

High Energy Physics - Theory · Physics 2009-11-10 H. Belich , J. L. Boldo , L. P. Colatto , J. A. Helayel-Neto , A. L. M. A. Nogueira

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 study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the…

High Energy Physics - Theory · Physics 2010-04-21 Mohsen Alishahiha , Reza Fareghbal , Amir E. Mosaffa

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 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

In spontaneously broken supergravity with non-flat potential the vanishing of the cosmological constant is usually associated with a non-trivial balancing of two opposite-sign contributions. We make the simple observation that, in an…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker

We consider pure three-dimensional Maxwell-Chern-Simons electrodynamics in the static limit. We show that this theory can be mapped onto a two-dimensional gravitational model in the first-order formalism of Riemannian manifolds with…

High Energy Physics - Theory · Physics 2025-09-24 Thales F. Bittencourt , Rodrigo F. Sobreiro

We consider the Maxwell-Chern-Simons theory in noncommutative three dimensional space-time. We show that the Seiberg-Witten map is ambiguous due to the dimensional coupling constant. To get the dual theory we start from a master action…

High Energy Physics - Theory · Physics 2009-11-11 E. Harikumar , Victor O. Rivelles

The complete non-linear three-dimensional Einstein gravity with gravitational Chern-Simons term and cosmological constant are studied in dreibein formulation. The constraints and their algebras are computed in an explicit form. From…

High Energy Physics - Theory · Physics 2014-11-18 Mu-in Park

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

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3…

High Energy Physics - Theory · Physics 2013-09-09 Hernan A. Gonzalez , Javier Matulich , Miguel Pino , Ricardo Troncoso