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We continue the construction of a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approach suggested for…

High Energy Physics - Theory · Physics 2025-02-18 Alexander A. Reshetnyak

We formulate the conditions defining the irreducible continuous spin representation of the four-dimensional Poincar\'e group based on spin-tensor fields with dotted and undotted indices. Such a formulation simplifies analysis of the…

High Energy Physics - Theory · Physics 2018-09-05 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

High Energy Physics - Theory · Physics 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

We develop the BRST approach to Lagrangian formulation for all massless half-integer higher spin fields on an arbitrary dimensional flat space. General procedure of Lagrangian construction describing the dynamics of fermionic field with any…

High Energy Physics - Theory · Physics 2010-04-05 I. L. Buchbinder , V. A. Krykhtin , A. Pashnev

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

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

In a previous paper, higher spin gauge field theory was formulated in an abstract way, essentially only keeping enough machinery to discuss "gauge invariance" of an "action". The approach could be thought of as providing an interface (or…

High Energy Physics - Theory · Physics 2008-11-26 Anders K. H. Bengtsson

We study a possibility of Lagrangian formulation for free higher spin bosonic totally symmetric tensor field on the background manifold characterizing by the arbitrary metric, vector and third rank tensor fields in framework of BRST…

High Energy Physics - Theory · Physics 2011-06-15 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

We develop the BRST approach to Lagrangian formulation for massive higher integer spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the dynamics of massive…

High Energy Physics - Theory · Physics 2010-04-05 I. L. Buchbinder , V. A. Krykhtin

We present an exhaustive BRST lagrangian description of partially massless bosonic fields in four-dimensional space. The basic fields are formulated in terms of two-component spin-tensors in (A)dS space where the tracelessness conditions…

High Energy Physics - Theory · Physics 2026-03-24 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

The key aspects of a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS spaces with a two-row Young tableaux $Y(s_1,s_2)$ are presented in an unconstrained description, as well as in…

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

We briefly review some modern developments in higher spin field theory and their links with superstring theory. The analysis is based on various BRST constructions allowing to derive the Lagrangians for massive and massless higher spin…

High Energy Physics - Theory · Physics 2014-11-18 X. Bekaert , I. L. Buchbinder , A. Pashnev , M. Tsulaia

We develop an approach to constructing the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and undotted spinor indices. Such fields automatically…

High Energy Physics - Theory · Physics 2022-11-30 I. L. Buchbinder , V. A. Krykhtin , T. V. Snegirev

We propose a method of construction of a cubic interaction in massless Higher Spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the Higher Spin gauge theory and generalize…

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

We apply a recently presented BRST procedure to construct the Largangian cubic vertex of higher-spin gauge field triplets interacting with massive free scalars. In flat space, the spin-s triplet propagates the series of irreducible spin-s,…

High Energy Physics - Theory · Physics 2009-06-11 A. Fotopoulos , N. Irges , A. C. Petkou , M. Tsulaia

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

High Energy Physics - Theory · Physics 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

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

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

High Energy Physics - Theory · Physics 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

We review the details of unconstrained Lagrangian formulations for Bose particles propagated on an arbitrary dimensional flat space-time and described by the unitary irreducible integer higher-spin representations of the Poincare group…

High Energy Physics - Theory · Physics 2012-07-26 Alexander A. Reshetnyak

Using BRST-BV formulation of relativistic dynamics, arbitrary spin massless and massive field propagating in flat space and arbitrary spin massless fields propagating in AdS space are considered. For such fields, BRST-BV Lagrangians…

High Energy Physics - Theory · Physics 2016-06-29 R. R. Metsaev