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Owing to subtle issues concerning quantum fluctuations and gauge fixing, a formulation of a general procedure to specify the realization of non-Abelian gauge symmetry has evaded all earlier attempts. In this Letter, we discuss these…

High Energy Physics - Theory · Physics 2009-09-25 Hoi-Kwong Lo

We study the equivalence/duality between various non-commutative gauge models at the classical and quantum level. The duality is realised by a linear Seiberg-Witten-like map. The infinitesimal form of this map is analysed in more details.

High Energy Physics - Theory · Physics 2007-05-23 Elias Kiritsis , Corneliu Sochichiu

Canonical quantization of a gauge theory in the spatial axial gauge produces an anisotropic Hamiltonian and matter particles surrounded by physically unrealistic asymmetric electric or chromoelectric fields. We show how to restore…

High Energy Physics - Theory · Physics 2008-06-19 Marek Krasnansky

Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry, which measures the charge of axion strings. As we review,…

High Energy Physics - Theory · Physics 2021-10-04 T. Daniel Brennan , Clay Cordova

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

Axially symmetric dyon solutions of a non-Abelian gauge theory model with two potentials are sought. While seeking axially symmetric (flux tube like solutions) for the model, we stumbled upon an exact solution which represents an infinite…

High Energy Physics - Theory · Physics 2014-06-17 Buddhi Vallabh Tripathi , Hemwati Nandan , K D Purohit

This report presents some studies of the gauge/string theory correspondence, a deep relation that is possible to establish between quantum field theories with local gauge symmetry and superstring theories including gravity. In its original…

High Energy Physics - Theory · Physics 2007-05-23 Emiliano Imeroni

The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3…

High Energy Physics - Theory · Physics 2022-05-18 Arjun Bagchi , Rudranil Basu , Minhajul Islam , Kedar S. Kolekar , Aditya Mehra

Non-invertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible…

High Energy Physics - Theory · Physics 2024-02-02 Jonathan J. Heckman , Jacob McNamara , Miguel Montero , Adar Sharon , Cumrun Vafa , Irene Valenzuela

Gauge fixing and the observable fields for both abelian and non-abelian gauge theories with spontaneous breaking of gauge symmetry are studied. We explicitly show that it is possible to globally fix the gauge in the broken sector and hence…

High Energy Physics - Theory · Physics 2009-10-28 Martin Lavelle , David McMullan

The standard notion of the non-Abelian duality in string theory is generalized to the class of $\si$-models admitting `non-commutative conserved charges'. Such $\si$-models can be associated with every Lie bialgebra $(\cg ,\cgt)$ and they…

High Energy Physics - Theory · Physics 2009-07-09 C. Klimcik , P. Severa

By introducing an appropriate parent action and considering a perturbative approach, we establish, up to fourth order terms in the field and for the full range of the coupling constant, the equivalence between the noncommutative…

High Energy Physics - Theory · Physics 2009-11-07 M. Botta Cantcheff , Pablo Minces

Duality groups as (spontaneously broken) gauge symmetries for toroidal backgrounds, and their role in ($\infty$-dimensional) underlying string gauge algebras are reviewed. For curved backgrounds, it is shown that there is a duality in the…

High Energy Physics - Theory · Physics 2007-05-23 Amit Giveon

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background B-fields. The theory is naturally expressed…

High Energy Physics - Theory · Physics 2009-11-07 Branislav Jurco , Peter Schupp , Julius Wess

I summarize and discuss some recent results on formulating actions of six-dimensional superconformal field theories using the language of higher gauge theory. The latter guarantees mathematical consistency of our constructions and we review…

High Energy Physics - Theory · Physics 2019-03-08 Christian Saemann

In a short review of recent work, we discuss the general problem of constructing the actions of new conformal field theories from old conformal field theories. Such a construction follows when the old conformal field theory admits new…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , M. B. Halpern

Within the framework of "anomalously gauged" Wess-Zumino-Witten (WZW) models, we construct solutions which include nonabelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of…

High Energy Physics - Theory · Physics 2015-06-26 M. Z. Iofa , and L. A. Pando Zayas

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin

In quantum field theory, an orbifold is a way to obtain a new theory from an old one by gauging a finite global symmetry. This definition of orbifold does not make sense for quantum gravity theories, that admit (conjecturally) no global…

High Energy Physics - Theory · Physics 2023-02-15 Stefano Giaccari , Roberto Volpato

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a…

High Energy Physics - Theory · Physics 2009-10-31 A. Smailagic , E. Spallucci