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Construction of the superfield action of the $N=(1,0)$, $d=6$ non-Abelian tensor multiplet based on the non-Abelian tensor hierarchies is considered. It is shown that while straightforward non-Abelian generalization of the…

High Energy Physics - Theory · Physics 2024-11-04 Nikolay Kozyrev

Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding…

High Energy Physics - Theory · Physics 2014-11-18 Sergiu I. Vacaru

Given a model for self-dual non-linear electrodynamics in four spacetime dimensions, any deformation of this theory which is constructed from the duality-invariant energy-momentum tensor preserves duality invariance. In this work we present…

High Energy Physics - Theory · Physics 2023-11-30 Christian Ferko , Sergei M. Kuzenko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

Using the equivalence between Scherk-Schwarz reductions and twisted tori compactifications, we discuss the effective theories obtained by this procedure from M-theory and N =4 type II orientifold constructions with Neveu-Schwarz and…

High Energy Physics - Theory · Physics 2010-04-05 Gianguido Dall'Agata , Sergio Ferrara

We are concerned with the precise modalities by which mathematical constructions related to energy-tensors can be adapted to a tetrad-affine setting. We show that, for fairly general gauge field theories formulated in that setting, two…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Daniel Canarutto

We provide a general technique for collectively analysing a manifestly covariant formulation of non-abelian gauge theories on both anti de Sitter as well as de Sitter spaces. This is done by stereographically projecting the corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi

A new representation of Lagrangians of 4D nonlinear electrodynamics is considered. In this new formulation, in parallel with the standard Maxwell field strength F, an auxiliary bispinor (tensor) field V is introduced. The gauge field…

High Energy Physics - Theory · Physics 2007-05-23 B. M. Zupnik

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

By separating the gluon field into physical and pure-gauge components, the usual Poincar\'e subalgebra for an interacting system can be reconciled with gauge-invariance when decomposing the total rotation and translation generators of QCD…

High Energy Physics - Phenomenology · Physics 2012-03-07 Xiang-Song Chen

The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with…

General Relativity and Quantum Cosmology · Physics 2009-09-04 Prasanta Mahato

Starting from a recently proposed linear formulation in terms of auxiliary fields, we study $n$-field generalizations of Born and Born-Infeld theories. In this description the Lagrangian is quadratic in the vector field strengths and the…

High Energy Physics - Theory · Physics 2016-11-23 B. L. Cerchiai , M. Trigiante

In this letter, we reconsider the Born-Infeld approach by replacing the Faraday field-strength tensor by a complex one in the lagrangian density. We show that an extension of the least action principle to complex-valued lagrangian densities…

Mathematical Physics · Physics 2007-08-06 Abdelouahab Kenoufi , Michel Gondran

Using Grassmann variant of classical mechanics, we construct Lagrangian dynamics of classical spinning particle in (possibly non-abelian) gauge fields. Quantization of this model is briefly discussed.

Mathematical Physics · Physics 2012-03-05 S. A. Pol'shin

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

All gauge bosons of a non-abelian gauge theory do not transform the same way under the discrete transformations of time-reversal and charge-conjugation. Moreover, the transformations rules depend on how the generators are chosen. We show…

High Energy Physics - Theory · Physics 2023-06-12 Amitabha Lahiri , Palash B. Pal , Marina Shokova

We investigate the Schwinger effect for the gauge bosons in an unbroken non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant "color electric" fields and "color magnetic" fields as backgrounds. As in the Abelian…

High Energy Physics - Theory · Physics 2017-09-01 Michael Ragsdale , Douglas Singleton

We study six-dimensional N=(1,0) supergravity theories with abelian, as well as non-abelian, gauge group factors. We show that for theories with fewer than nine tensor multiplets, the number of possible combinations of gauge groups -…

High Energy Physics - Theory · Physics 2012-06-13 Daniel S. Park , Washington Taylor

In a four-dimensional space I shall construct all of the conformally invariant, scalar-vector-tensor field theories that are consistent with conservation of charge, and flat space compatible. By the last assumption I mean that the…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Gregory W. Horndeski

The Gauss law constraint in the Hamiltonian form of the $SU(2)$ gauge theory of gluons is satisfied by any functional of the gauge invariant tensor variable $\phi^{ij} = B^{ia} B^{ja}$. Arguments are given that the tensor $G_{ij} =…

High Energy Physics - Theory · Physics 2007-05-23 D. Z. Freedman , P. E. Haagensen , K. Johnson , J. I. Latorre

The non-abelian generalization of the Born-Infeld non-linear lagrangian is extended to the non-commutative geometry of matrices on a manifold. In this case not only the usual SU(n) gauge fields appear, but also a natural generalization of…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Antonio Troisi , Emmanuel Sérié , Richard Kerner