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We analyze local fields redefinition and duality for gauge field theories in three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual models admits the same fields redefinition. Maxwell-Proca action and its dual also share…

High Energy Physics - Theory · Physics 2009-11-10 Marcio A. M. Gomes , R. R. Landim

A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

High Energy Physics - Theory · Physics 2007-05-23 Noureddine Mohammedi

New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant $\b > 0$ and the theory…

High Energy Physics - Theory · Physics 2015-06-26 Q-Han Park , H. J. Shin

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

Using a group-invariant version of the Faddeev-Popov method we explicitly obtain the partition functions of the Self-Dual Model and Maxwell-Chern-Simons theory. We show that their ratio coincides with the partition function of abelian…

High Energy Physics - Theory · Physics 2014-11-18 Emil M. Prodanov , Siddhartha Sen

We consider the Maxwell-Chern-Simons theory in noncommutative three dimensional space-time. We show that the Seiberg-Witten map is ambiguous due to the dimensional coupling constant. To get the dual theory we start from a master action…

High Energy Physics - Theory · Physics 2009-11-11 E. Harikumar , Victor O. Rivelles

We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller…

Condensed Matter · Physics 2016-08-31 Mark Burgess , Margaret Carrington

We regularize compact and non-compact Abelian Chern-Simons-Maxwell theories on a spatial lattice using the Hamiltonian formulation. We consider a doubled theory with gauge fields living on a lattice and its dual lattice. The Hilbert space…

High Energy Physics - Lattice · Physics 2015-03-25 T. Z. Olesen , N. D. Vlasii , U. -J. Wiese

The self-duality of the transverse-field Ising model is an archetype for dualities that, alongside symmetry and topology, are used as an organizing principle throughout modern physics. This duality, however, is not exact. The original and…

Strongly Correlated Electrons · Physics 2026-05-14 José Dupont , Jasper van Wezel

The non-abelian version of the self-dual model proposed by Townsend, Pilch and van Nieuwenhuizen presents some well known difficulties not found in the abelian case, such as well defined duality operation leading to self-duality and dual…

High Energy Physics - Theory · Physics 2009-11-07 A. Ilha , C. Wotzasek

Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

General Physics · Physics 2012-06-19 S. C. Tiwari

We consider a TFT on the product of a manifold with an interval, together with a topological and a non-topological boundary condition imposed at the two respective ends. The resulting (in general higher gauge) field theory is…

High Energy Physics - Theory · Physics 2026-04-01 Ján Pulmann , Pavol Ševera , Fridrich Valach

Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

High Energy Physics - Theory · Physics 2010-12-03 Sumit R. Das , Cesar Gomez

We discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

We find self-dual vortex solutions in a Maxwell-Chern-Simons model with anomalous magnetic moment. From a recently developed N=2-supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , M. S. Cunha , J. A. Helayel-Neto , L. R. U. Manssur , A. L. M. A. Nogueira

In this thesis we review the Seiberg-Witten solution of four dimensional N=2 gauge theories, the six-dimensional construction of these models recently proposed by Gaiotto and the BPS quiver technique for the determination of the BPS…

High Energy Physics - Theory · Physics 2013-09-23 Simone Giacomelli

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 develop a technique that solders the dual aspects of some symmetry. Using this technique it is possible to combine two theories with such symmetries to yield a new effective theory. Some applications in two and three dimensional…

High Energy Physics - Theory · Physics 2009-10-31 R. Banerjee , C. Wotzasek

We extend the notion of self-duality to spaces built from a set of representations of the Lorentz group with bosonic or fermionic behaviour, not having the traditional spin-one upper-bound of super Minkowski space. The generalized…

High Energy Physics - Theory · Physics 2009-10-30 C. Devchand , J. Nuyts