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We generalize the unconstrained description of free massless higher spin fields previously developed in [Nucl.Phys. B 779 (2007) 155] to the case of free massive higher spin fields in a flat space of arbitrary dimension. The Lagrangian is…

High Energy Physics - Theory · Physics 2010-02-03 I. L. Buchbinder , A. V. Galajinsky

We construct simple unconstrained Lagrangian formulations for massless higher spin fields in flat space of arbitrary dimension and on anti de Sitter background. Starting from the triplet equations of Francia and Sagnotti, which describe a…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. V. Galajinsky , V. A. Krykhtin

We give a brief overview of the BRST approach to the gauge invariant Lagrangian formulation for free massive higher-spin bosonic fields focusing on two specific aspects. First, the theory is considered in four dimensional flat space in…

High Energy Physics - Theory · Physics 2025-05-19 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

This is the first of two papers devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin gauge fields of mixed symmetry in flat space. Here we complete the previous constrained formulation of…

High Energy Physics - Theory · Physics 2009-11-13 Andrea Campoleoni , Dario Francia , Jihad Mourad , Augusto Sagnotti

We construct a Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having k rows, on a basis of the universal BRST approach. Starting with a description of bosonic…

High Energy Physics - Theory · Physics 2025-02-18 I. L. Buchbinder , A. Reshetnyak

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

This paper is a sequel of arXiv:0810.4350 [hep-th], and is also devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin fields of mixed symmetry in flat space. Here we complete the previous…

High Energy Physics - Theory · Physics 2015-05-13 Andrea Campoleoni , Dario Francia , Jihad Mourad , Augusto Sagnotti

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 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 construct a Lagrangian that describes the dynamics of a six-dimensional free infinite (continuous) spin field in $6D$ Minkowski space. The Lagrangian is formulated in the framework of the BRST approach to higher spin field theory and is…

High Energy Physics - Theory · Physics 2023-08-17 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev , V. A. Krykhtin

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

High Energy Physics - Theory · Physics 2007-05-23 I. L Buchbinder , V. A. Krykhtin

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 develop the BRST approach to Lagrangian construction for the massive integer higher spin fields in an arbitrary dimensional AdS space. The theory is formulated in terms of auxiliary Fock space. Closed nonlinear symmetry algebra of higher…

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

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

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields…

High Energy Physics - Theory · Physics 2009-05-26 Andrea Campoleoni

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 construct a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with the corresponding Young tableaux having two rows, on a basis of the BRST approach. Starting with a description of…

High Energy Physics - Theory · Physics 2019-04-04 P. Yu. Moshin , A. A. Reshetnyak

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin…

High Energy Physics - Theory · Physics 2009-11-11 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev
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