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Tensor generalizations of affine vector fields called symmetric and antisymmetric affine tensor fields are discussed as symmetry of spacetimes. We review the properties of the symmetric ones, which have been studied in earlier works, and…

General Relativity and Quantum Cosmology · Physics 2016-01-11 Tsuyoshi Houri , Yoshiyuki Morisawa , Kentaro Tomoda

We present supersymmetric solutions for the theory of gauged supergravity in five dimensions obtained by gauging the shift symmetry of the axion of the universal hypermultiplet. This gauged theory can also be obtained by dimensionally…

High Energy Physics - Theory · Physics 2009-11-07 Michael Gutperle , Wafic A. Sabra

We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

We consider SU(2) gauge potentials over a space with a compactified dimension. A non-Abelian Fourier transform of the gauge potential in the compactified dimension is defined in such a way that the Fourier coefficients are (almost) gauge…

High Energy Physics - Theory · Physics 2009-11-07 Grigorii B. Pivovarov , James P. Vary

In this article we shall consider the tensor gauge fields which are possible to embed into the existing framework of generalized YM theory and therefore allows to construct the gauge invariant and metric independent forms in 2n+4 and 2n+2…

High Energy Physics - Theory · Physics 2013-07-12 George Georgiou , George Savvidy

We define a group of extended non-Abelian gauge transformations for tensor gauge fields. On this group one can define generalized field strength tensors, which are transforming homogeneously with respect to the extended gauge…

High Energy Physics - Theory · Physics 2007-05-23 George Savvidy

A model is presented that could lead to an interesting extension of the Standard Model. Like a supersymmetric gauge theory, the model is holomorphic and invariant to local superspace gauge transformations. However, the model is not…

High Energy Physics - Phenomenology · Physics 2026-01-21 Scott Chapman

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows to establish their perturbative finiteness.

High Energy Physics - Theory · Physics 2015-06-26 Nicola Maggiore , Silvio P. Sorella

We investigate a non-trivial extension of the $D-$dimensional Poincar\'e algebra. Matrix representations are obtained. The bosonic multiplets contain antisymmetric tensor fields. It turns out that this symmetry acts in a natural geometric…

High Energy Physics - Theory · Physics 2007-05-23 G. Moultaka , M. Rausch de Traubenberg , A. Tanasa

It is proposed the generalized action functional for N=1 superparticle in D=3,4,6 and 10 space-time dimensions. The superfield geometric approach equations describing superparticle motion in terms of extrinsic geometry of the worldline…

High Energy Physics - Theory · Physics 2016-09-06 Igor A. Bandos , Alexei Yu. Nurmagambetov

We present the description in central charge superspace of N=4 supergravity with antisymmetric tensor coupled to an arbitrary number of abelian vector multiplets. All the gauge vectors of the coupled system are treated on the same footing…

High Energy Physics - Theory · Physics 2009-11-10 Sebastien Gurrieri , Annamaria Kiss

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

High Energy Physics - Theory · Physics 2009-11-10 A. A. Slavnov , K. V. Stepanyantz

A recent paper promises new constructions that may make it possible to achieve covariance in spherically symmetric models of loop quantum gravity. This claim is contrary to the discovery of several stubborn obstacles to covariance uncovered…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Martin Bojowald

We present an extension of previous results (hep-th/0105215)on the quantization of general gauge theories within the BRST-antBRST invatiant Lagrangian scheme in general coordinates, namely, we consider the case when the base manifold of…

High Energy Physics - Theory · Physics 2014-11-18 B. Geyer , P. M. Lavrov

We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell…

High Energy Physics - Theory · Physics 2012-10-02 Richard J. Szabo

We discuss the algebra of general gauge theories that are described by the embedding tensor formalism. We compare the gauge transformations dependent and independent of an invariant action, and argue that the generic transformations lead to…

High Energy Physics - Theory · Physics 2011-01-13 Frederik Coomans , Jan De Rydt , Antoine Van Proeyen

We set up some foundations of generalised scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between super schemes and the category of super vector spaces.

Algebraic Geometry · Mathematics 2023-11-07 Kevin Coulembier

The topological properties of field configurations in gauge theory contain important data about the (generalized) global symmetries of the theory as well as potential inconsistencies in the form of gauge anomalies. In this work we modify…

High Energy Physics - Theory · Physics 2026-04-03 Markus Dierigl , Ruben Minasian , Dušan Novičić

In this paper we analyze the tensor field (reducible gauge) theories in the context of very special relativity (VSR). Particularly, we study the VSR gauge symmetry as well as VSR BRST symmetry of Kalb-Ramond and Abelian 3-form fields…

High Energy Physics - Theory · Physics 2015-12-22 Sudhaker Upadhyay

We formulate a new class of tensor gauge field theories in any dimension that is a hybrid class between symmetric higher-rank tensor gauge theory (i.e., higher-spin gauge theory) and anti-symmetric tensor topological field theory. Our…

High Energy Physics - Theory · Physics 2020-12-24 Juven Wang , Kai Xu