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We explore a model of gravity that arises from the consideration of the Chern-Simons form in 2+1 dimensions for a spin connection with a contorsion described by a scalar and a vector field. The effective Lagrangian presents a local Weyl…

High Energy Physics - Theory · Physics 2016-07-04 Simón del Pino , Adolfo Toloza

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

High Energy Physics - Theory · Physics 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

In this paper we construct a map between a solution of supersymmetric Chern-Simons higher spin gravity based on the superalgebra $sl(3|2)$ with Lifshitz scaling and the $N=2$ super Boussinesq hierarchy. We show that under this map the time…

High Energy Physics - Theory · Physics 2018-06-13 Michael Gutperle , Yi Li

Following the approach of Grignani and Nardelli [1], we show how to cast the two-dimensional model $L \sim curv^2 + torsion^2 + cosm.const$ -- and in fact any theory of gravity -- into the form of a Poincare gauge theory. By means of the…

High Energy Physics - Theory · Physics 2009-10-22 Thomas Strobl

It is commonly accepted that the study of 2+1 dimensional quantum gravity could teach us something about the 3+1 dimensional case. The non-perturbative methods developed in this case share, as basic ingredient, a reformulation of gravity as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Buffenoir , K. Noui

Considering bilayer systems as extensions of the planar ones by an internal space of two discrete points, we use the ideas of Noncommutative Geometry to construct the gauge theories for these systems. After integrating over the discrete…

High Energy Physics - Theory · Physics 2009-10-28 Varghese John , Nguyen Ai Viet , Kameshwar C. Wali

The coupling of conserved p-brane currents with non-Abelian gaugetheories is done consistently by using Chern-Simons forms. Conserved currents localized on p-branes that have a gravitational origin can be constructed from Killing-Yano forms…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ümit Ertem , Özgür Açık

Spinning black holes in dynamical Einstein-Chern-Simons gravity are constructed by directly solving the field equations, without resorting to any perturbative expansion. This model is obtained by adding to the Einstein-Hilbert action a…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Terence Delsate , Carlos Herdeiro , Eugen Radu

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Choonkyu Lee

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an…

High Energy Physics - Theory · Physics 2015-08-26 Pedro D. Alvarez , Pablo Pais , Eduardo Rodríguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We represent the two - dimensional planar classical continuous Heisenberg spin model as a constrained Chern-Simons gauged nonlinear Schr\"odinger system. The hamiltonian structure of the model is studied, allowing the quantization of the…

High Energy Physics - Theory · Physics 2007-05-23 L. Martina , O. K. Pashaev , G. Soliani

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We propose candidate gravity duals for a class of non-Abelian z=2 Lifshitz Chern-Simons (LCS) gauge theories studied by Mulligan, Kachru and Nayak. These are nonrelativistic gauge theories in 2+1 dimensions in which parity and time-reversal…

High Energy Physics - Theory · Physics 2015-06-03 Koushik Balasubramanian , John McGreevy

Recently three dimensional Einstein gravity with AdS geometry has been studied, and pointed out to be described with Chern-Simons theory by Grumiller and Jackiw. While, non-commutative Chern-Simons theory is known to be equivalent to…

High Energy Physics - Theory · Physics 2009-10-26 Yuko Kobashi

By considering the nonrelativistic limit of de-Sitter geometry one obtains the nonrelativistic space-time with a cosmological constant and Newton-Hooke (NH) symmetries. We show that the NH symmetry algebra can be enlarged by the addition of…

High Energy Physics - Theory · Physics 2014-11-18 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We review the string/gauge theory duality relating Chern-Simons theory and topological strings on noncompact Calabi-Yau manifolds, as well as its mathematical implications for knot invariants and enumerative geometry.

High Energy Physics - Theory · Physics 2007-05-23 Marcos Marino

We construct a new class of $(p,q)$-extended Poincar\'e supergravity theories in 2+1 dimensions as Chern-Simons theories of supersymmetry algebras with both central and automorphism charges. The new theories have the advantage that they are…

High Energy Physics - Theory · Physics 2009-10-09 P. S. Howe , J. M. Izquierdo , G. Papadopoulos , P. K. Townsend

The (pre)multisymplectic geometry of the De Donder--Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric and magnetic…

Mathematical Physics · Physics 2023-02-03 Joaquim Gomis , Arnoldo Guerra , Narciso Román-Roy

We construct generalized sets of asymptotic conditions for both three-dimensional Maxwell Chern-Simons gravity and a novel extension that incorporates torsion through a deformation of the Maxwell algebra. These boundary conditions include…

High Energy Physics - Theory · Physics 2026-02-25 Luis Avilés , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

In this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincar\'e…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Diego Peñafiel , Evelyn Rodríguez
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