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We develop the BRST approach to construct the general off-shell local Lorentz covariant cubic interaction vertices for irreducible massless and massive higher spin fields on $d$-dimensional Minkowski space. We consider two different cases…

High Energy Physics - Theory · Physics 2024-09-04 Ioseph L. Buchbinder , Alexander A. Reshetnyak

We consider four-dimensional Higher-Spin Theory at the first nontrivial order corresponding to the cubic action. All Higher-Spin interaction vertices are explicitly obtained from Vasiliev's equations. In particular, we obtain the vertices…

High Energy Physics - Theory · Physics 2016-02-17 Nicolas Boulanger , Pan Kessel , E. D. Skvortsov , Massimo Taronna

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{\mu_1 ... \mu_s}$ of mass $M$ in a $d$-dimensional $dS$ space, extending the results previously obtained for $s=2$ by other authors. Our…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia , J. Mourad , A. Sagnotti

The deformations of higher-spin symmetries induced by cubic interactions of symmetric massless bosonic fields are analyzed within the metric-like formalism. Our analysis amends the existing classification according to gauge-algebra…

High Energy Physics - Theory · Physics 2015-06-17 Euihun Joung , Massimo Taronna

We give an explicit component Lagrangian construction of massive higher spin on-shell $N=1$ supermultiplets in four-dimensional Anti-de Sitter space $AdS_4$. We use a frame-like gauge invariant description of massive higher spin bosonic and…

High Energy Physics - Theory · Physics 2019-05-01 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

Nonabelian Fradkin-Vasiliev cubic interactions for dual-graviton-like gauge fields with gravity and themselves are constructed in anti-de Sitter spacetime. The Young diagrams of gauge potentials have shapes of 'tall-hooks', i.e. two columns…

High Energy Physics - Theory · Physics 2011-12-22 Nicolas Boulanger , E. D. Skvortsov

We give a brief introduction into the gauge invariant formulation of irreducible massive bosonic higher spin fields. We discuss both free Lagrangians and the ones which include cubic interactions. We demonstrate an application of these…

High Energy Physics - Theory · Physics 2025-12-29 Julian Lang , Mirian Tsulaia

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal…

High Energy Physics - Theory · Physics 2009-10-31 S. E. Konstein , M. A. Vasiliev , V. N. Zaikin

We derive the component Lagrangian for the free $N$-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction is based on frame-like description of massless integer and half-integer…

High Energy Physics - Theory · Physics 2020-11-23 I. L. Buchbinder , T. V. Snegirev

We derive non-linear commutator HS symmetry algebra, which encode unitary irreducible representations of AdS group subject to Young tableaux $Y(s_1,...,s_k)$ with $k\geq 2$ rows on $d$-dimensional anti-de-Sitter space. Auxiliary…

High Energy Physics - Theory · Physics 2012-04-02 Cestmir Burdik , Alexander Reshetnyak

We provide a general scheme for dualizing higher-spin gauge fields in arbitrary irreducible representations of GL(D,R). We also give a recipe for constructing Fronsdal-like field equations and Lagrangians for such exotic fields.

High Energy Physics - Theory · Physics 2010-04-05 Xavier Bekaert , Nicolas Boulanger

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

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

The problem of finding consistent cubic AdS interactions of massless mixed-symmetry higher-spin fields is recast into a system of partial differential equations that can be solved for given spins of the particles entering the cubic…

High Energy Physics - Theory · Physics 2012-10-16 L. Lopez

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 analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the…

High Energy Physics - Theory · Physics 2019-10-02 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

This thesis is an elaboration of recent results on the holographic re-construction of metric-like interactions in higher-spin gauge theories on anti-de Sitter space (AdS), employing their conjectured holographic duality with free conformal…

High Energy Physics - Theory · Physics 2017-09-27 Charlotte Sleight

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…

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

We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincare group.The fermionic part of these models consists of…

High Energy Physics - Theory · Physics 2018-04-04 Dmitri Sorokin , Mirian Tsulaia