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In this article we consider the problem to what extent the motion of gauge-charged matter that generates the gravitational field can be arbitrary, as well as what equations are superimposed on the gauge field due to conditions of…

General Relativity and Quantum Cosmology · Physics 2021-04-27 Serhii Samokhvalov

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of…

High Energy Physics - Theory · Physics 2009-11-07 Xavier Bekaert , Nicolas Boulanger , Marc Henneaux

The polynomial affine gravity is an alternative model of gravity whose fundamental field is the affine connection, and it is invariant under the complete group of diffeomorphisms. In 3+1 dimensions the field equations generalise those of…

General Relativity and Quantum Cosmology · Physics 2022-12-16 José Perdiguero , Oscar Castillo-Felisola

The quantum theory of a massless spin two particle is strongly constrained by diffeomorphism invariance, which is in turn implied by unitarity. We explicitly exhibit the space-time diffeomorphism algebra of string theory, realizing it in…

High Energy Physics - Theory · Physics 2015-06-22 Waldemar Schulgin , Jan Troost

Based on recent developments, in this letter we study the one parameter deformation of 2+1 dimensional gauge theories with scale invariance and N = 8 supersymmetry, which is expected to be the field theory living on a stack of M2 branes.…

High Energy Physics - Theory · Physics 2011-03-14 Yushu Song

The geometric structure of theories with gauge fields of spins two and higher should involve a higher spin generalisation of Riemannian geometry. Such geometries are discussed and the case of $W_\infty$-gravity is analysed in detail. While…

High Energy Physics - Theory · Physics 2015-06-26 C. M. Hull

We revisit the field content and consistency of the New General Relativity family of theories. These theories are constructed in a geometrical framework with a flat and metric-compatible connection, so the affine structure is entirely…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Jose Beltrán Jiménez , Konstantinos F. Dialektopoulos

In this paper we consider the issue of massive gravity from a pure field theoretical point of view, as the massive deformation of the gauge theory for a symmetric rank-2 tensor field. We look for the most general massive theory with well…

High Energy Physics - Theory · Physics 2017-06-07 Alberto Blasi , Nicola Maggiore

Gauge theories on a space-time that is deformed by the Moyal-Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is used to construct gauge invariant…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Aschieri , Marija Dimitrijevic , Frank Meyer , Stefan Schraml , Julius Wess

We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific three-dimensional fuzzy spaces based on SU(2)…

General Relativity and Quantum Cosmology · Physics 2018-09-12 D. Jurman , G. Manolakos , P. Manousselis , G. Zoupanos

We have examined the deformation of a generic non-Abelian gauge theory obtained by replacing its Lie group by the corresponding quantum group. This deformed gauge theory has more degrees of freedom than the theory from which it is derived.…

High Energy Physics - Theory · Physics 2009-11-07 R. J. Finkelstein

Starting from a standard noncommutative gauge theory and using the Seiberg-Witten map we propose a new version of a noncommutative gravity. We use consistent deformation theory starting from a free gauge action and gauging a killing…

High Energy Physics - Theory · Physics 2014-11-20 Ignacio Cortese , J Antonio García

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

A general action is proposed for the fields of $q$-dimensional differential form over the compact Riemannian manifold of arbitrary dimensions. Mathematical tools are based on the well-known de Rham-Kodaira decomposing theorem on harmonic…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Echigoya , Tadashi Miyazaki

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

We investigate in 4 spacetime dimensions, all the consistent deformations of the lagrangian ${\cal L}_2+{\cal L}_{{3/2}}$, which is the sum of the Pauli-Fierz lagrangian ${\cal L}_2$ for a free massless spin 2 field and the Rarita-Schwinger…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicolas Boulanger , Mboyo Esole

We analyse the couplings of a partially massless spin-2 field with a doublet of massless, real spin-3/2 fields. In the flat limit, this spectrum coincides with the spectrum of ${\cal N}=2$ pure supergravity around anti-de Sitter spacetime…

High Energy Physics - Theory · Physics 2025-01-13 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

We study the theory of massless fields of type II strings arising from the string field theory that uses two string fields, a physical one and an extra one that allows the writing of an action, but whose degrees of freedom ultimately…

High Energy Physics - Theory · Physics 2025-06-10 Raji Ashenafi Mamade , Barton Zwiebach

Inspired by the translational gauge structure of teleparallel gravity, the theory for a fundamental massless spin-2 field is constructed. Accordingly, instead of being represented by a symmetric second-rank tensor, the fundamental spin-2…

General Relativity and Quantum Cosmology · Physics 2013-02-28 H. I. Arcos , Tiago Gribl Lucas , J. G. Pereira