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We review the recently developed general gauge invariant approach to Lagrangian construction for massive higher spin fields in Minkowski and AdS spaces of arbitrary dimension. Higher spin Lagrangian, describing the dynamics of the fields…

High Energy Physics - Theory · Physics 2007-12-11 I. L. Buchbinder , V. A. Krykhtin

The detailed description of the method of the construction of the nilpotent BRST charges for nonlinear algebras of constraints appearing in the description of the massless higher spin fields on the $AdS_D$ background is presented. It is…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , A. Pashnev , M. Tsulaia

The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified by the Maxwell-like theory of symmetric tensor field.

High Energy Physics - Theory · Physics 2021-09-28 V. A. Abakumova , S. L. Lyakhovich

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable…

High Energy Physics - Theory · Physics 2017-09-13 Jens Mund , Erichardson T. de Oliveira

We develop the finite field-dependent BRST (FFBRST) transformation for arbitrary spin-s conformal field theories. We discuss the novel features of the FFBRST transformation in these systems. To illustrate the results we consider the spin-1…

High Energy Physics - Theory · Physics 2015-04-21 Sudhaker Upadhyay , Bhabani Prasad Mandal

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary…

High Energy Physics - Theory · Physics 2014-12-11 Alexander A. Reshetnyak

We suggest a new mass generation mechanism for gauge fields. The quantum field theory constructed in this paper is nonabelian, gauge invariant and asymptotically free.

High Energy Physics - Theory · Physics 2008-03-10 A. Sevostyanov

We propose a new gauge field theory which is an extension of ordinary string field theory by assembling multiple state spaces of the bosonic string. The theory includes higher spin fields in its massless spectrum together with the infinite…

High Energy Physics - Theory · Physics 2015-06-17 Masako Asano , Mitsuhiro Kato

We show that for open gauge theories, it is possible to build an off-shell Becchi-Rouet-Stora-Tyutin (BRST) algebra together with an invariant extension of the classical action. This is based on the introduction of auxiliary fields, after…

High Energy Physics - Theory · Physics 2015-06-17 N. Djeghloul , A. Meziane , M. Tahiri

We consider the Einstein-Cartan theory with the tetrad $e_{\mu}^{a}$ and spin connection $\omega_{\mu ab}$ taken as being independent fields. Diffeomorphism invariance and local Lorentz invariance result in there being two distinct gauge…

High Energy Physics - Theory · Physics 2025-06-05 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Pashnev , M. Tsulaia

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We investigate the gauging of conformal algebras with relations between the generators. We treat the $W_{5/2}$--algebra as a specific example. We show that the gauge-algebra is in general reducible with an infinite number of stages. We show…

High Energy Physics - Theory · Physics 2007-05-23 Kris Thielemans , Stefan Vandoren

We study the formulation of massless higher-spin gravity on AdS$_3$ in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be…

High Energy Physics - Theory · Physics 2018-04-04 Andrea Campoleoni , Stefan Fredenhagen , Joris Raeymaekers

We construct a concise gauge invariant formulation for massless, partially massless, and massive bosonic AdS fields of arbitrary symmetry type at the level of equations of motion. Our formulation admits two equivalent descriptions: in terms…

High Energy Physics - Theory · Physics 2011-09-20 K. B. Alkalaev , Maxim Grigoriev

It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga

Massive quantum matter of prescribed spin permits infinitely many possibilities of covariantization in terms of spinorial (undotted/dotted) pointlike fields, whereas massless finite helicity representations lead to large gap in this…

High Energy Physics - Theory · Physics 2012-01-30 Bert Schroer

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

High Energy Physics - Theory · Physics 2009-11-10 Igor Batalin , Igor Tyutin

We study the gauge structure of vacuum string field theory expanded around the D-brane solution, namely, the gauge transformation and the transversality condition of the massless vector fluctuation mode. We find that the gauge…

High Energy Physics - Theory · Physics 2009-11-10 H. Hata , H. Kogetsu , S. Teraguchi

A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of G. If the nonlinearly realized symmetry is gauged, then the BRST charge can be related by a similarity transformation to the…

High Energy Physics - Theory · Physics 2009-10-28 I. N. McArthur