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We study essentially non-Abelian backgrounds in the five dimensional N=4 gauged SU(2)$\times$U(1) supergravity. Static configurations that are invariant under either the SO(4) spatial rotations or with respect to the SO(3) rotations and…

High Energy Physics - Theory · Physics 2010-02-03 Ali H. Chamseddine , Mikhail S. Volkov

Generalised Fierz-Pauli mass terms allow to describe massive higher-spin fields on flat background by means of simple quadratic deformations of the corresponding geometric, massless Lagrangians. In this framework there is no need for…

High Energy Physics - Theory · Physics 2008-11-26 Dario Francia

We describe nonassociative deformations of geometry probed by closed strings in non-geometric flux compactifications of string theory. We show that these non-geometric backgrounds can be geometrised through the dynamics of open membranes…

High Energy Physics - Theory · Physics 2014-03-03 Dionysios Mylonas , Peter Schupp , Richard J. Szabo

We utilise a quotient of the universal enveloping algebra of the Poincar\'e algebra in three spacetime dimensions, on which we formulate a covariant constancy condition. The equations so obtained contain the Fierz-Pauli equations for…

High Energy Physics - Theory · Physics 2023-03-01 Martin Ammon , Michel Pannier

We study the (3+1)-dimensional evolution of non-Abelian plasma instabilities in the presence of a longitudinally expanding background of hard particles using the discretized hard loop framework. The free streaming background dynamically…

High Energy Physics - Phenomenology · Physics 2013-01-15 Maximilian Attems , Anton Rebhan , Michael Strickland

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

This paper proposes a new notion of smoothness of algebras, termed differential smoothness, that combines the existence of a top form in a differential calculus over an algebra together with a strong version of the Poincar\'e duality…

Quantum Algebra · Mathematics 2015-05-07 Tomasz Brzeziński , Andrzej Sitarz

We explore a comprehensive analysis of the formalism governing the gravitational field equations in degenerate higher-order scalar-tensor theories. The propagation of these theories in the vacuum has a maximum of three degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Z. Yousaf , N. Z. Bhatti , H. Asad , Yuki Hashimoto , Kazuharu Bamba

Vasiliev's higher-spin theories in various dimensions are uniformly represented as a simple system of equations. These equations and their gauge invariances are based on two superalgebras and have a transparent algebraic meaning. For a…

High Energy Physics - Theory · Physics 2015-06-23 K. B. Alkalaev , Maxim Grigoriev , E. D. Skvortsov

In two-dimensional conformal field theory, we analyze conformally invariant boundary conditions which break part of the bulk symmetries. When the subalgebra that is preserved by the boundary conditions is the fixed algebra under the action…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert

A twisted generalized Weyl algebra A of degree n depends on a base algebra R, n commuting automorphisms s_i of R, n central elements t_i of R and on some additional scalar parameters. In a paper by V.Mazorchuk and L.Turowska (1999) it is…

Rings and Algebras · Mathematics 2020-06-09 Vyacheslav Futorny , Jonas T. Hartwig

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge…

High Energy Physics - Theory · Physics 2016-03-31 R. R. Metsaev

In this paper we provide the criteria for any generally covariant, parity preserving, and torsion free theory of gravity to possess a stable de Sitter (dS) or anti-de Sitter (AdS) background. By stability we mean the absence of tachyonic or…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

Integrable structure of the symmetry reduced dynamics of massless bosonic sector of the heterotic string effective action is presented. For string background equations that govern in the space-time of $D$ dimensions ($D\ge 4$) the dynamics…

High Energy Physics - Theory · Physics 2009-09-02 G. A. Alekseev

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

We study the general deformed conformal-Poincare (Galilean) symmetries consistent with relativistic (nonrelativistic) canonical noncommutative spaces. In either case we obtain deformed generators, containing arbitrary free parameters, which…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Kuldeep Kumar

We consider a field theoretical model on the noncommutative cylinder which leads to a discrete-time evolution. Its Euclidean version is shown to be equivalent to a model on the complex $q$-plane. We reveal a direct link between the model on…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , A. Demichev , P. Presnajder

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such background to an…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field…

High Energy Physics - Theory · Physics 2010-11-01 Taichiro Kugo , Barton Zwiebach

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov
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