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We develop the BRST-BV approach to construct the general off-shell Lorentz covariant cubic, quartic, $e$-tic interaction vertices for irreducible higher spin fields on $d$-dimensional Minkowski space. We consider two different cases for…

High Energy Physics - Theory · Physics 2023-10-26 Alexander Reshetnyak

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 review the application of BRST and BRST-BV approaches to construct the generic off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher integer spin fields (as the candidates for massive…

High Energy Physics - Theory · Physics 2024-10-25 Alexander A. Reshetnyak

We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities $s_1, s_2, s_3$. Unlike the previous works on cubic…

High Energy Physics - Theory · Physics 2022-05-10 I. L. Buchbinder , A. A. Reshetnyak

The necessary and sufficient conditions to construct consistent Lagrangian formulation for irreducible interacting massless higher-spin (HS) fields on $d$-dimensional Minkowski space within approach with incomplete BRST operator and…

High Energy Physics - Theory · Physics 2025-11-17 A. Reshetnyak

The structure of a cubic Lagrangian vertex is clarified for irreducible fields of helicities $s_1, s_2, s_3$ in a $d$-dimensional Minkowski space. An explicit form of the operator $\mathcal{Z}_j$ entering the vertex in a non-multiplicative…

High Energy Physics - Theory · Physics 2022-10-03 A. A. Reshetnyak

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

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 construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Dimitri Polyakov

Using BRST-BV formulation of relativistic dynamics, we study arbitrary spin massive and massless fields propagating in flat space. Generating functions of gauge invariant off-shell cubic interaction vertices for mixed-symmetry and totally…

High Energy Physics - Theory · Physics 2013-02-13 R. R. Metsaev

We fulfill the detailed analysis of coupling the charged bosonic higher spin fields to external constant electromagnetic field in first order in external field strength. Cubic interaction vertex of arbitrary massive and massless bosonic…

High Energy Physics - Theory · Physics 2015-06-04 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields…

High Energy Physics - Theory · Physics 2018-01-17 R. R. Metsaev

We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of…

High Energy Physics - Theory · Physics 2023-11-14 I. L. Buchbinder , A. A. Reshetnyak

Using the light-cone formulation of relativistic dynamics, we develop various methods for constructing cubic interaction vertices and apply these methods to the study of higher spin fields propagating in flat space of dimension greater than…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

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

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency…

High Energy Physics - Theory · Physics 2015-06-04 Euihun Joung , Luca Lopez , Massimo Taronna

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

We develop a systematic approach to the computation of gauge invariant quartic interactions between reducible massive and massless higher spin fields. Extending the BRST formulation of existing cubic results, we obtain a single constraint…

High Energy Physics - Theory · Physics 2026-05-08 Julian Lang , Mirian Tsulaia

We consider the massive integer higher spin fields coupled to an external constant electromagnetic field in flat space of arbitrary dimension and find a gauge invariant quartic interaction vertex which is quadratic in dynamical higher spin…

High Energy Physics - Theory · Physics 2015-10-28 I. L. Buchbinder , V. A. Krykhtin

In this paper we elaborate on higher spin cubic interactions for massless, massive and partially massless fields. We work in the gauge invariant frame-like multispinor formalism, combining Lagrangian and unfolded formulations.

High Energy Physics - Theory · Physics 2021-11-09 Yu. M. Zinoviev
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