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Chern-Simons modified gravity is an effective extension of general relativity that captures leading-order, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation in particle physics and string theory.…

High Energy Physics - Theory · Physics 2015-05-13 Stephon Alexander , Nicolas Yunes

We extend the Chern-Simons perturbative invariant of Axelrod and Singer to non-acyclic connections. We construct a solution of the quantum master equation on the space of functions on the cohomology of the connection. We prove that this…

Differential Geometry · Mathematics 2010-01-04 Vito Iacovino

We derive the noncommutative Chern-Simons action induced by Dirac fermions coupled to a background gauge field, for the fundamental, antifundamental, and the adjoint representation. We discuss properties of the noncommutative Chern-Simons…

High Energy Physics - Theory · Physics 2009-08-13 N. Grandi , G. A. Silva

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

In this article we consider theta-expanded noncommutative gauge field theory, constructed at the first order in noncommutative parameter theta, as an effective, anomaly free theory, with one-loop renormalizable gauge sector. Related…

High Energy Physics - Phenomenology · Physics 2008-11-26 Josip Trampetic

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 re-examine the perturbative properties of four-dimensional non-commutative QED by extending the pinch techniques to the theta-deformed case. The explicit independence of the pinched gluon self-energy from gauge-fixing parameters, and the…

High Energy Physics - Theory · Physics 2009-11-11 Nicola Caporaso , Sara Pasquetti

A brief review of the development of Chern-Simons gauge theory since its relation to knot theory was discovered in 1988 is presented. The presentation is done guided by a dictionary which relates knot theory concepts to quantum field theory…

High Energy Physics - Theory · Physics 2007-05-23 J. M. F. Labastida

We investigate the possibility of Lorentz and CPT violations in the photon sector, of the Chern-Simons form, be induced by radiative corrections arising from the Lorentz and CPT non-invariant fermionic sector of an extended version of QED.…

High Energy Physics - Theory · Physics 2011-07-19 O. A. Battistel , G. Dallabona

We review some recent developments in Chern-Simons theory on a hyperbolic 3-manifold $M$ with complex gauge group $G$. We focus on the case $G=SL(N,\mathbb{C})$ and with $M$ a knot complement. The main result presented in this note is the…

High Energy Physics - Theory · Physics 2017-04-19 Mauricio Romo

We give an explicit proof that the noncommutative U(N) gauge theories are one-loop renormalizable

High Energy Physics - Theory · Physics 2009-10-31 L. Bonora , M. Salizzoni

The model of nonrelativistic particles coupled to nonstandard (2+1)-gravity [1] is extended to include Abelian or non-Abelian charges coupled to Chern-Simons gauge fields. Equivalently, the model may be viewed as describing the (Abelian or…

High Energy Physics - Theory · Physics 2009-01-07 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

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

We study 2+1 Chern-Simons gravity at the classical action level. In particular we rederive the linear combinations of the ``standard'' and ``exotic'' Einstein actions, from the (anti) self-duality of the ``internal'' Lorentzian indices. The…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory does not have any physical significance. In fact, the difference between an effective action both BRS invariant and Landau supersymmetric and an effective action…

High Energy Physics - Theory · Physics 2011-07-19 G. Giavarini , C. P. Martin , F. Ruiz Ruiz

Translation-invariant noncommutative gauge theories are discussed in the setting of matrix modeled gauge theories. Using the matrix model formulation the explicit form of consistent anomalies and consistent Schwinger terms for…

High Energy Physics - Theory · Physics 2015-05-27 Amir Abbass Varshovi

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The…

High Energy Physics - Theory · Physics 2012-02-07 Yu Nakayama

We use a geometric generalization of the Seiberg-Witten map between noncommutative and commutative gauge theories to find the expansion of noncommutative Chern-Simons (CS) theory in any odd dimension $D$ and at first order in the…

High Energy Physics - Theory · Physics 2015-06-22 Paolo Aschieri , Leonardo Castellani

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian…

High Energy Physics - Theory · Physics 2009-10-31 M. L. Ciccolini , C. D. Fosco , F. A. Schaposnik

We formulate Poisson Chern-Simons gauge theories on compact group manifolds. These describe a sector of the large representation limit of noncommutative Chern-Simons in the same way as the light-cone formulation of the membrane action…

High Energy Physics - Theory · Physics 2010-02-03 Bogdan Morariu