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Related papers: Non-abelian gauge antisymmetric tensor fields

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Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the…

High Energy Physics - Theory · Physics 2011-05-09 George Savvidy

A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields,…

High Energy Physics - Theory · Physics 2015-05-18 M. Botta Cantcheff , J. A. Helayel-Neto

We apply the noncommutative fields method to the three-dimensional non-Abelian gauge theory. We find that, first, implementing the noncommutativity between the canonical momenta implies in generation of the non-Abelian Chern-Simons term,…

High Energy Physics - Theory · Physics 2008-05-09 J. R. Nascimento , A. Yu. Petrov , E. O. Silva

We construct a class of nonabelian superconformal (1,0) hypermultiplet theories in six dimensions by introducing an abelian auxiliary field. The gauge fields of this class of theories are non-dynamical, and this class of theories can be…

High Energy Physics - Theory · Physics 2018-01-08 Fa-Min Chen

We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. We have calculated all bosonic terms in…

High Energy Physics - Theory · Physics 2008-11-26 E. Bergshoeff , M. de Roo , A. Sevrin

In the recently proposed generalization of the Yang-Mills theory the group of gauge transformation gets essentially enlarged. This enlargement involves an elegant mixture of the internal and space-time symmetries. The resulting group is an…

High Energy Physics - Theory · Physics 2011-01-04 George Savvidy

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (required dimensionality for conformal invariance of Yang-Mills…

High Energy Physics - Theory · Physics 2023-10-03 Kaushlendra Kumar

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is…

High Energy Physics - Theory · Physics 2015-06-26 S. N. Solodukhin

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter,…

High Energy Physics - Theory · Physics 2011-09-13 Branislav Jurco , Lutz Möller , Stefan Schraml , Peter Schupp , Julius Wess

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually non-commutative), we derive a new class of higher-rank tensor…

Strongly Correlated Electrons · Physics 2020-11-13 Juven Wang , Shing-Tung Yau

In this work we show a dualization process of a non-Abelian model with an antisymmetric tensor gauge field in a three-dimensional space-time. We have constructed a non-Abelian gauge invariant St\"{u}ckelberg-like master action, and a…

High Energy Physics - Theory · Physics 2007-05-23 C. A. S. Almeida , R. R. Landim , D. M. Medeiros

We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The…

High Energy Physics - Theory · Physics 2009-10-22 L. V. Avdeev , M. V. Chizhov

Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelian Chern-Simons field theory. As a matter of fact these…

High Energy Physics - Theory · Physics 2014-11-18 Franco Ferrari

We construct a framework which unifyies in dual pairs the fields and anti-fields of the Batalin and Vilkovisky quantization method. We consider gauge theories of p-forms coupled to Yang-Mills fields. Our algorithm generates many topological…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu

A exotic class of nonlinear p-form nonabelian gauge theories is studied, arising from the most general allowed nontrivial deformation of linear abelian gauge theory for a set of massless 1-form fields and 2-form fields in four dimensions.…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco

A non-abelian coupling between antisymmetric fields and Yang-Mills fields proposed by Freedman and Townsend several years ago is derived using the self-interaction mechanism.

High Energy Physics - Theory · Physics 2009-10-30 A. Khoudeir

We propose a symmetry law for a doublet of different form fields, which resembles gauge transformations for matter fields. This may be done for general Lie groups, resulting in an extension of Lie algebras and group manifolds. It is also…

High Energy Physics - Theory · Physics 2007-05-23 Marcelo Botta Cantcheff

We consider a Yang-Mills theory in loop space with an affine Lie gauge group. The Chapline-Manton coupling, the coupling between Yang-Mills fields and an abelian antisymmetric tensor field of second rank via the Chern-Simons term, is…

High Energy Physics - Theory · Physics 2009-10-31 Tadahito Nakajima