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Related papers: BRST-BFV Lagrangian Formulations for Higher Spin F…

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We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in…

General Relativity and Quantum Cosmology · Physics 2015-10-01 Sudhaker Upadhyay

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic…

High Energy Physics - Theory · Physics 2017-11-16 Yu. M. Zinoviev

The frame-like covariant Lagrangian formulation of bosonic and fermionic mixed-symmetry type higher spin massless fields propagating on the AdS(d) background is proposed. Higher spin fields are described in terms of gauge p-forms which…

High Energy Physics - Theory · Physics 2010-04-05 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

The generating functional of two dimensional $BF$ field theories coupled to fermionic fields and conserved currents is computed in the general case when the base manifold is a genus g compact Riemann surface. The lagrangian density…

High Energy Physics - Theory · Physics 2009-10-31 A. Restuccian , J. Stephany

In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4- vector. A la Majorana interpretation of the 6- component…

High Energy Physics - Theory · Physics 2016-05-20 Valeriy V. Dvoeglazov

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

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

Motivated by construction of isospin generators in particle physics (built form the SU(2) algebra), we find an equivalence between the algebra of these generators and those of the Virasoro algebra. The form of the starting generators is…

High Energy Physics - Theory · Physics 2008-09-26 J. Alfaro , M. Cambiaso

We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

Unconstrained local Lagrangians for higher-spin gauge theories are bound to involve auxiliary fields, whose integration in the partition function generates geometric, effective actions expressed in terms of curvatures. When applied to the…

High Energy Physics - Theory · Physics 2014-11-20 Dario Francia

Totally symmetric continuous spin field propagating in (A)dS is studied. Lagrangian gauge invariant formulation for such field is developed. Lagrangian of continuous spin field is constructed in terms of double traceless tensor fields,…

High Energy Physics - Theory · Physics 2017-04-05 R. R. Metsaev

We study the classical and quantum $G$ extended superconformal algebras from the hamiltonian reduction of affine Lie superalgebras, with even subalgebras $G\oplus sl(2)$. At the classical level we obtain generic formulas for the Poisson…

High Energy Physics - Theory · Physics 2009-10-22 Katsushi Ito , Jens Ole Madsen , Jens Lyng Petersen

We present a Lagrangian formulation for the free superspin-3/2 massive 4D, N=1 superfield. The model is described by a dynamical real vector superfield and an auxiliary real scalar superfield. The corresponding multiplet contains spin-1,…

High Energy Physics - Theory · Physics 2012-08-27 I. L. Buchbinder , S. James Gates, , J. Phillips , W. D. Linch

We propose a general method for the description of arbitrary single spin-j states transforming according to (j,0)+(0,j) carrier spaces of the Lorentz algebra in terms of Lorentz-tensors for bosons, and tensor-spinors for fermions, and by…

High Energy Physics - Phenomenology · Physics 2015-03-26 E. G. Delgado Acosta , V. M. Banda Guzman , M. Kirchbach

A construction of relativistic wave equations on the homogeneous spaces of the Poincar\'{e} group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is…

Mathematical Physics · Physics 2008-11-26 V. V. Varlamov

In this short note we show, at the level of action principles, how the light-cone action of higher spin gauge fields can easily be obtained from the BRST formulation through the elimination of quartets. We analyze how the algebra of…

High Energy Physics - Theory · Physics 2007-05-23 G. Barnich , G. Bonelli , M. Grigoriev

The BRST quantization of particle motion on the hypersurface $V_{(N-1)}$ embedded in Euclidean space $R_N$ is carried out both in Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) formalism, the second class…

High Energy Physics - Theory · Physics 2022-05-30 Vipul Kumar Pandey

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the…

High Energy Physics - Theory · Physics 2009-11-18 Heinz J. Rothe , Klaus D. Rothe

This paper studies a particular class of higher order conformally invariant dif- ferential operators and related integral operators acting on functions taking values in particular finite dimensional irreducible representations of the Spin…

Differential Geometry · Mathematics 2016-08-18 Chao Ding , Raymond Walter , John Ryan
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