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Related papers: On the duality in CPT-even Lorentz-breaking theori…

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We study electric-magnetic duality in Lorentz invariant symmetric tensor gauge theories, where immobile charged particles - fractons - arise due to the generalized current conservation $\partial_{\mu} \partial_{\nu} J^{\mu \nu} = 0$ and the…

High Energy Physics - Theory · Physics 2025-11-07 Ryuki Makino , Shin Sasaki , Kenta Shiozawa

We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial in the present analysis. It should be…

High Energy Physics - Theory · Physics 2009-11-07 Subir Ghosh

In this paper, we analysis the dynamics, at the quantum level, of the self-dual field minimally coupled to bosons with Lorentz symmetry breaking. We quantize the model by applying the Dirac bracket canonical quantization procedure. In…

High Energy Physics - Theory · Physics 2025-01-14 M. A. Anacleto , F. A. Brito , E. Passos

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

High Energy Physics - Theory · Physics 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

We analyse the pure Chern-Simons theory on an Euclidean infinite lattice. We point out that, as a consequence of its symmetries, the Chern-Simons theory does not have an integrable kernel. Due to the linearity of the action in the…

High Energy Physics - Lattice · Physics 2009-10-31 F. Berruto , M. C. Diamantini , P. Sodano

We define a very general class of CHL-models associated with any string theory (bosonic or supersymmetric) compactified on an internal CFT C x T^d. We take the orbifold by a pair (g,\delta), where g is a (possibly non-geometric) symmetry of…

High Energy Physics - Theory · Physics 2018-04-18 Daniel Persson , Roberto Volpato

Following systematically the generalized Hamiltonian approach of Batalin and Fradkin, we demonstrate the equivalence of a self-dual model with the Maxwell-Chern-Simons theory by embedding the former second-class theory into a first-class…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , H. J. Rothe , K. D. Rothe Comments 9 pages , LaTeX

The duality symmetric but not manifestly covariant action proposed by Schwarz-Sen is canonically quantized in the Coulomb gauge. The resulting theory turns out to be, nevertheless, relativistically invariant. It is shown, afterwards, that…

High Energy Physics - Theory · Physics 2009-10-31 H. O. Girotti

The possibility of dual equivalence between the self-dual and the Maxwell-Chern-Simons (MCS) models when the latter is coupled to dynamical, U(1) fermionic charged matter is examined. The proper coupling in the self-dual model is then…

High Energy Physics - Theory · Physics 2009-11-11 M. S. Guimarães , T. Mariz , R. Menezes , C. Wotzasek

We introduce a master action in noncommutative space, out of which we obtain the action of the noncommutative Maxwell-Chern-Simons theory. Then, we look for the corresponding dual theory at both first and second orders in the noncommutative…

High Energy Physics - Theory · Physics 2009-11-10 M. Botta Cantcheff , Pablo Minces

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

F-theory compactifications with a nontrivial Mordell-Weil group realize abelian gauge symmetry through rational sections, but their consistency is ultimately a statement about the quantum effective action. We show that compactification on a…

High Energy Physics - Theory · Physics 2026-04-24 Mir Faizal , Arshid Shabir

A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We…

High Energy Physics - Theory · Physics 2009-10-22 Chanju Kim , Choonkyu Lee , Pyungwon Ko , Bum-Hoon Lee , Hyunsoo Min

There exist two deformations of standard electrodynamics that describe Lorentz symmetry violation in the photon sector: CPT-odd Maxwell-Chern-Simons theory and CPT-even modified Maxwell theory. In this article, we focus on the parity-odd…

High Energy Physics - Theory · Physics 2015-03-19 Marco Schreck

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We study relativistic self-dual Chern-Simons-Higgs systems in the presence of uniform background fields that explicitly break CTP. A rich, but discrete vacuum structure is found when the gauge symmetry is spontaneously broken, while the…

High Energy Physics - Theory · Physics 2016-09-06 Kimyeong Lee , Piljin Yi

The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar fields coupled to a…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca

We find the dual equivalent (gauge invariant) version of the Maxwell theory in D=4 with a Proca-like mass term by using the symplectic embedding method. The dual theory obtained (Maxwell-Podolsky) includes a higher-order derivative term and…

High Energy Physics - Theory · Physics 2008-12-05 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira , C. Wotzasek , L. M. V. Xavier

We study three approaches to electric-magnetic duality in the 4-dimensional Maxwell theory coupled to a dyonic point charge and in the 5-dimensional Maxwell-Chern-Simons (MCS) theory coupled to an electric point charge and a magnetic string…

High Energy Physics - Theory · Physics 2024-06-25 Hannes Malcha

We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large…

High Energy Physics - Theory · Physics 2009-09-28 Kristan Jensen , Andreas Karch