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We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N)xU(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Chang-Soon Park

The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable…

High Energy Physics - Theory · Physics 2009-09-25 Luigi Pilo

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 report on progress in evaluating quantum filed theories with supersymmetric discrete light-cone quantization (SDLCQ). We compare the method to lattice gauge theory and point out its relevance for lattice calculations. As an exciting…

High Energy Physics - Lattice · Physics 2009-11-07 Uwe Trittmann

We consider five-dimensional supergravity theories with eight or sixteen supercharges with Abelian vector fields and ungauged scalars. We address the question under which conditions these theories can be interpreted as effective low energy…

High Energy Physics - Theory · Physics 2015-06-15 Federico Bonetti , Thomas W. Grimm , Stefan Hohenegger

A class of two dimensional conformal field theories is known to correspond to three dimensional Chern-Simons theory. Here we claim that there is an analogous class of four dimensional field theories corresponding to five dimensional…

High Energy Physics - Theory · Physics 2009-10-28 K. S. Gupta , A. Stern

We discuss several aspects of three dimensional N=2 supersymmetric gauge theories coupled to chiral multiplets. The generation of Chern-Simons couplings at low-energies results in novel behaviour including compact Coulomb branches,…

High Energy Physics - Theory · Physics 2010-02-03 David Tong

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

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be…

High Energy Physics - Theory · Physics 2011-05-05 Davide Gaiotto , Xi Yin

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 construct, by a procedure involving a dimensional reduction from a Chern-Simons theory with borders, an effective theory for a 1+1 dimensional superconductor. 1That system can be either in an ordinary phase or in a topological one,…

High Energy Physics - Theory · Physics 2021-08-12 C. D. Fosco , F. A. Schaposnik

In the pseudo-euclidean metrics Chern-Simons gauge theory in the infrared region is found to be associated with dissipative dynamics. In the infrared limit the Lagrangian of 2+1 dimensional pseudo-euclidean topologically massive…

High Energy Physics - Theory · Physics 2009-10-30 M. Blasone , E. Graziano , O. K. Pashaev , G. Vitiello

We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

High Energy Physics - Theory · Physics 2009-10-22 A. Brandhuber , M. Langer , M. Schweda , O. Piguet , S. P. Sorella

Three dimensional bosonization is a conjectured duality between non-supersymmetric Chern-Simons theories coupled to matter fields in the fundamental representation of the gauge group. There is a well-established supersymmetric version of…

High Energy Physics - Theory · Physics 2015-08-11 Guy Gur-Ari , Ran Yacoby

We consider three-dimensional maximally superconformal Bagger-Lambert-Gustavsson (BLG) theory and its topologically gauged version (constructed recently in arXiv:0809.4478 [hep-th]) in the light-cone gauge. After eliminating the entire…

High Energy Physics - Theory · Physics 2010-01-05 Bengt E. W. Nilsson

In earlier work, N=(1,1) super Yang--Mills theory in two dimensions was found to have several interesting properties, though these properties could not be investigated in any detail. In this paper we analyze two of these properties. First,…

High Energy Physics - Theory · Physics 2009-11-10 J. R. Hiller , M. Harada , S. S. Pinsky , N. Salwen , U. Trittmann

In this talk we describe the application of discrete light cone quantization (DLCQ) to supersymmetric field theories. We find that it is possible to formulate DLCQ so that supersymmetry is exactly preserved in the discrete approximation and…

High Energy Physics - Theory · Physics 2007-05-23 SDLCQ Collaboration , F. Antonuccio , I. Filippov , P. Haney , O. Lunin , S. Pinsky , U. Trittmann , J. Hiller

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

The $4$-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of $2$-dimensional integrable field theories. The purpose of this paper is to extend this framework…

High Energy Physics - Theory · Physics 2024-11-26 Alexander Schenkel , Benoit Vicedo