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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…

高能物理 - 理论 · 物理学 2007-05-23 I. L Buchbinder , V. A. Krykhtin

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…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

高能物理 - 理论 · 物理学 2008-11-26 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.…

高能物理 - 理论 · 物理学 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

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…

高能物理 - 理论 · 物理学 2025-05-19 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina , H. Takata

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…

高能物理 - 理论 · 物理学 2007-12-11 I. L. Buchbinder , V. A. Krykhtin

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…

高能物理 - 理论 · 物理学 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

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…

高能物理 - 理论 · 物理学 2025-02-18 I. L. Buchbinder , A. Reshetnyak

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , A. A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

高能物理 - 理论 · 物理学 2017-03-21 Alexander A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2019-04-04 P. Yu. Moshin , A. A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2010-04-05 I. L. Buchbinder , V. A. Krykhtin , A. Pashnev

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

高能物理 - 理论 · 物理学 2018-10-25 Alexander A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2012-07-26 Alexander A. Reshetnyak

We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d=3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly…

高能物理 - 理论 · 物理学 2015-10-02 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

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…

高能物理 - 理论 · 物理学 2018-09-05 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We describe the procedure of dimensional reduction of massless fields in $(D+1)$ dimensional Minkowski space to massive ones in $D$ dimensions in the first-quantized setting. The procedure is compatible with Lagrangian and in a…

高能物理 - 理论 · 物理学 2020-02-21 Alexander Chekmenev

We extend the results of Lagrangian formulations study to construct gauge-invariant Lagrangians for (ir)reducible integer higher-spin massless and massive representations of the Poincare group with a Young tableau…

高能物理 - 理论 · 物理学 2026-02-16 Alexander A. Reshetnyak , Julia V. Bogdanova , Vipul K. Pandey
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