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Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2015-06-03 Pradip Mukherjee , Biswajit Paul

In this paper we consider some new classical effects obtained for a planar electrodynamics with the presence of a higher order derivatives term. The model can be interpreted as a kind of extension for the $3d$ Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2022-01-12 L. H. C. Borges , F. A. Barone , H. L. Oliveira

In this paper, we investigate a CPT-even model with a Lorentz-violating mass term. Such kind of models may present very interesting features like superluminal modes of propagation or even instantaneous long-range interactions. The mass term…

High Energy Physics - Theory · Physics 2015-06-22 H. G. Fargnoli , L. C. T. Brito , A. P. Baêta Scarpelli , Marcos Sampaio

In this paper we study in detail the equivalence of the recently introduced Born-Infeld self dual model to the Abelian Born-Infeld-Chern-Simons model in 2+1 dimensions. We first apply the improved Batalin, Fradkin and Tyutin scheme, to…

High Energy Physics - Theory · Physics 2009-11-07 E. Harikumar , Avinash Khare , M. Sivakumar , Prasanta K. Tripathy

Using the recently discovered connection between bosonization and duality transformations (hep-th/9401105 and hep-th/9403173), we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U(1)…

High Energy Physics - Theory · Physics 2011-08-12 C. P. Burgess , C. A. Lütken , F. Quevedo

We investigate metric independent, gauge invariant and closed forms in the generalized YM theory. These forms are polynomial on the corresponding fields strength tensors - curvature forms and are analogous to the Pontryagin-Chern densities…

High Energy Physics - Theory · Physics 2015-06-18 Spyros Konitopoulos , George Savvidy

We study $N=2$ supersymmetric $SU(2)/U(1)$ and $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten models. It is shown that the vector gauged model is transformed to the axial gauged model by a mirror transformation. Therefore the vector gauged model…

High Energy Physics - Theory · Physics 2009-10-28 Tomomi Muto

We construct a covariant and gauge-invariant theory describing massive fractons in three spacetime dimensions, based on a symmetric rank-2 tensor field. The model includes a Chern-Simons-like term that plays a dual role: it generates a…

High Energy Physics - Theory · Physics 2025-10-28 Erica Bertolini , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh

We search for superspace Chern-Simons-like higher-derivative terms in the low energy effective actions of supersymmetric theories in four dimensions. Superspace Chern-Simons-like terms are those gauge-invariant terms which cannot be written…

High Energy Physics - Theory · Physics 2008-11-26 Philip C. Argyres , Adel M. Awad , Gregory A. Braun , F. Paul Esposito

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , L. C. T. Brito , M. Gomes , A. Yu. Petrov , A. J. da Silva

Building on earlier work in the high energy and condensed matter communities, we present a web of dualities in $2+1$ dimensions that generalize the known particle/vortex duality. Some of the dualities relate theories of fermions to theories…

High Energy Physics - Theory · Physics 2016-11-23 Nathan Seiberg , T. Senthil , Chong Wang , Edward Witten

We investigate the $\mathcal{N} = 2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while…

High Energy Physics - Theory · Physics 2025-07-16 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

There exists a well-known duality between the Maxwell-Chern-Simons theory and the self-dual massive model in 2+1 dimensions. This dual description has been extended to topologically massive gauge theories (TMGT) in any dimension. This…

High Energy Physics - Theory · Physics 2008-11-26 Bruno Bertrand , Jan Govaerts

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

We study two-dimensional integrable field theories from the viewpoint of the four-dimensional Chern-Simons-type gauge theory introduced recently. The integrable field theories are realized as effective theories for the four-dimensional…

High Energy Physics - Theory · Physics 2019-08-08 Kevin Costello , Masahito Yamazaki

Modifications of the electromagnetic Maxwell Lagrangian in four dimensions have been considered by some authors. One may include an explicit massive term (Proca) and a topological but not Lorentz-invariant term within certain observational…

High Energy Physics - Theory · Physics 2016-08-16 M. Botta Cantcheff , C. F. L. Godinho , A. P. Baêta Scarpelli , J. A. Helayël-Neto

A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , J. A. Helayël-Neto

We consider a new D=2 nonrelativistic classical mechanics model providing via the Noether theorem the (2+1)-Galilean symmetry algebra with two central charges: mass m and the coupling constant k of a Chern-Simons-like term. In this way we…

High Energy Physics - Theory · Physics 2009-10-30 Jerzy Lukierski , Peter C. Stichel , Wojtek J. Zakrzewski