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In this paper, we investigate the generalized Saez-Ballester scalar-tensor theory of gravity via Noether gauge symmetry (NGS) in the background of Bianchi type I cosmological spacetime. We start with the Lagrangian of our model and…

General Physics · Physics 2012-04-27 Mubasher Jamil , Sajid Ali , D. Momeni , R. Myrzakulov

We provide a brief overview of tensor models and group field theories, focusing on their main common features. Both frameworks arose in the context of quantum gravity research, and can be understood as higher-dimensional generalizations of…

Mathematical Physics · Physics 2024-04-12 Sylvain Carrozza

Invariant tensors play an important role in gauge theories, for example, in dualities of N=1 gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often…

High Energy Physics - Theory · Physics 2018-06-13 Dillon Berger , Jessica N. Howard , Arvind Rajaraman

We construct non-standard interactions between exterior form gauge fields by gauging a particular global symmetry of the Einstein-Maxwell action for such fields. Furthermore we discuss generalizations of such interactions by adding…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Joan Simon , Ulrich Theis

We develop the idea of local duality symmetry (LDS) in gauge field theories. Using Clifford algebra techniques we construct dually invariant scalar Lagrangian of electrodynamics in the presence of sources and demonstrate that in tensor…

High Energy Physics - Theory · Physics 2020-03-26 Timur Seidov

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

A recently found (gr-qc/0303036) 2-index, symmetric, trace-free, divergence-free tensor is introduced for arbitrary source-free electromagnetic fields. The tensor can be constructed for any test Maxwell field in Einstein spaces (including…

General Relativity and Quantum Cosmology · Physics 2007-05-23 José M. M. Senovilla

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

It is proposed that a non-Abelian adjoint two-form in BF type theories transform inhomogeneously under the gauge group. The resulting restrictions on invariant actions are discussed. The auxiliary one-form which is required for maintaining…

High Energy Physics - Theory · Physics 2008-11-26 Amitabha Lahiri

In the context of a special class of tensor-multi-scalar theories of gravity for which the target-space metric admits an isometry under which the theory is invariant, we present rotating vacuum solutions, namely with no matter fields. These…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

We give the complete list of all first-order consistent interaction vertices for a set of exterior form gauge fields of form degree >1, described in the free limit by the standard Maxwell-like action. A special attention is paid to the…

High Energy Physics - Theory · Physics 2009-12-30 Marc Henneaux , Bernard Knaepen

Symmetries and, in particular, Cartan (Noether) symmetries and conserved quantities (conservation laws) are studied for the multisymplectic formulation of first and second order Lagrangian classical field theories. Noether-type theorems are…

Mathematical Physics · Physics 2021-07-20 Jordi Gaset , Narciso Román-Roy

In this paper we consider frame-like formulation for mixed symmetry spin-tensors corresponding to arbitrary Young tableau with two rows. First of all, we extend Skvortsov formulation for massless mixed symmetry bosonic fields in flat…

High Energy Physics - Theory · Physics 2009-08-11 Yu. M. Zinoviev

We construct the tensor hierarchies of generic, bosonic, 5- and 6-dimensional field theories. The construction of the tensor hierarchy starts with the introduction of two tensors: the embedding tensor which tells us which vector is used for…

High Energy Physics - Theory · Physics 2009-09-28 Jelle Hartong , Tomás Ortín

The double tensor multiplet of D=4, N=2 supersymmetry, relevant to type IIB superstring vacua, is derived and its gauge invariant and N=2 supersymmetric interactions are analysed, both self-interactions and interactions with vector…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt

We report a new internal gauge symmetry of the n-dimensional Palatini action with cosmological term (n>3) that is the generalization of three-dimensional local translations. This symmetry is obtained through the direct application of the…

General Relativity and Quantum Cosmology · Physics 2017-09-26 Merced Montesinos , Diego Gonzalez , Mariano Celada , Bogar Diaz

The conventional model of the gauge vector field is invariant under the local conformal symmetry only in the four-dimensional space ($4d$). Conformal generalization to an arbitrary dimension $d$ is impossible even for the free theory,…

High Energy Physics - Theory · Physics 2021-12-03 Manuel Asorey , Lesław Rachwał , Ilya L. Shapiro , Wagno Cesar e Silva

The standard procedure for making a global phase symmetry local involves the introduction of a rank 1, vector field in the definition of the covariant derivative. Here it is shown that it is possible to gauge a phase symmetry using fields…

High Energy Physics - Theory · Physics 2009-11-10 Douglas Singleton , Akira Kato , A. Yoshida

We present a simple field theory model with reduced invariance under diffeomorphisms whose energy-momentum tensor is identical to the sum of pressureless irrotational matter and a cosmological constant. The model action is built from a…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Javier de Cruz Pérez , Antonio L. Maroto

Using the concept of variational tricomplex endowed with a presymplectic structure, we formulate the general notion of symmetry. We show that each generalized symmetry of a gauge system gives rise to a sequence of conservation laws that are…

Mathematical Physics · Physics 2016-10-05 Alexey A. Sharapov