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We show that, with the help of a general BRST symmetry, different theories in 3 dimensions can be connected through a fundamental topological field theory related to the classical limit of the Chern-Simons model.

High Energy Physics - Theory · Physics 2015-06-26 J. C. Le Guillou , E. F. Moreno , C. Nunez , F. A. Schaposnik

We propose an alternative understanding of the relationship between massive and massless magnonic TBA systems, using the T-duality symmetries of the Homogeneous sine-Gordon models. This is shown to be in agreement with a previous treatment…

High Energy Physics - Theory · Physics 2011-02-16 Patrick Dorey , J. Luis Miramontes

It is shown that the T-duality in \sigma-model with Kaluza-Klein metric, without or with a torsion term, can be interpreted as electric-magnetic duality for some of their solitonic solutions. Actually Buscher's duality transformation…

High Energy Physics - Theory · Physics 2009-10-31 M. A. Jafarizadeh , A. Rezaei-Aghdam

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

We extend the duality between massive and topologically massive antisymmetric tensor gauge theories in arbitrary space-time dimensions to include topological defects. We show explicitly that the condensation of these defects leads, in 4…

High Energy Physics - Theory · Physics 2009-11-07 M. C. Diamantini

We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI…

High Energy Physics - Theory · Physics 2021-01-13 Anton Kapustin , Brian Willett , Itamar Yaakov

We present a unified analysis of the self-dual, second order, topologically massive and the recently introduced fourth order models of massive gravity in 3D. We show that there is a family of first order actions which interpolate between…

High Energy Physics - Theory · Physics 2015-06-03 Pio J. Arias , Adel Khoudeir , J. Stephany

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 dual of the four dimensional non-linear sigma model is constructed using techniques familiar to string theory. This construction necessitates the introduction of a rank two antisymmetric tensor field whose properties are examined. The…

High Energy Physics - Theory · Physics 2007-05-23 N. Mohammedi , R. T. Moss , R. D. Simmons

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups…

High Energy Physics - Theory · Physics 2011-04-05 Anton Kapustin

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

An intriguing connection, based on duality symmetry, between ordinary (commutative) Born-Infeld type theory and non-commutative Maxwell type theory, is pointed out. Both discrete as well as continuous duality transformations are considered…

High Energy Physics - Theory · Physics 2015-06-26 Rabin Banerjee

A generalized gauge invariant Ising model on random surfaces with non-trivial topology is proposed and investigated with the dual transformation. It is proved that the model is self-dual in case of a self-dual lattice. In special cases the…

High Energy Physics - Theory · Physics 2009-09-25 Z. B. Li , B. Zheng , L. Schülke

The BPS baby Skyrme models are submodels of baby Skyrme models, where the nonlinear sigma model term is suppressed. They have skyrmion solutions saturating a BPS bound, and the corresponding static energy functional is invariant under…

High Energy Physics - Theory · Physics 2013-05-30 C. Adam , J. Sanchez-Guillen , A. Wereszczynski , W. J. Zakrzewski

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

The T-duality symmetries of a family of two-dimensional massive integrable field theories defined in terms of asymmetric gauged Wess-Zumino-Novikov-Witten actions modified by a potential are investigated. These theories are examples of…

High Energy Physics - Theory · Physics 2008-11-26 J. Luis Miramontes

We discuss the equivalence of two dual scalar field theories in 2 dimensions. The models are derived though the elimination of different fields in the same Freedman--Townsend model. It is shown that tree $S$-matrices of these models do not…

High Energy Physics - Theory · Physics 2008-11-26 A. Subbotin , I. V. Tyutin

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This…

High Energy Physics - Theory · Physics 2020-08-26 Luigi Alfonsi , Chris D. White , Sam Wikeley

We gauge the non-abelian isometries of a sigma model with boundaries. Forcing the field strength of the gauge fields to vanish renders the gauged model equivalent to the ungauged one provided that boundary conditions are taken into account…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Forste , Alexandros A. Kehagias , Stefan Schwager

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