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In this paper we construct a number of cubic interaction vertices for massless bosonic and fermionic higher spin fields in flat four dimensional space. First of all, we construct these cubic vertices in AdS_4 space using a so-called…

High Energy Physics - Theory · Physics 2020-08-31 M. V. Khabarov , Yu. M. Zinoviev

We formulate the equations of motion of a free scalar field in the flat and $AdS$ space of an arbitrary dimension in the form of some "higher spin" covariant constancy conditions. Klein-Gordon equation is interpreted as a non-trivial…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

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

Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and one-half spin) fields in three-dimensional flat space are considered. Both the integer spin and half-integer spin fields are studied. For…

High Energy Physics - Theory · Physics 2020-10-28 R. R. Metsaev

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

This contribution discusses the recent progress in research of consistent supersymmetric interactions of AdS(5) higher spin gauge fields.

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev

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 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 obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading…

High Energy Physics - Theory · Physics 2015-05-18 Ruben Manvelyan , Karapet Mkrtchyan , Werner Ruehl

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 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 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

In this short note we present a Lagrangian formulation for free bosonic Higher Spin fields which belong to massless reducible representations of D-dimensional Anti de Sitter group using an ambient space formalism.

High Energy Physics - Theory · Physics 2008-11-26 A. Fotopoulos , K. L. Panigrahi , M. Tsulaia

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

We formulate gauge invariant interactions of totally symmetric tensor and tensor-spinor higher spin gauge fields in AdS(5) that properly account for higher-spin-gravitational interactions at the action level in the first nontrivial order.

High Energy Physics - Theory · Physics 2009-11-07 K. B. Alkalaev , M. A. Vasiliev

We determine the boundary terms of the free higher-spin action which reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance boundary. The boundary terms are further constrained by the gauge invariance of the total…

High Energy Physics - Theory · Physics 2015-06-03 Euihun Joung , Jihad Mourad

We analyze cubic spin 3 interaction in AdS space using the higher spin extension of string-theoretic sigma-model constructed in our previous work, which low energy limit is described by AdS vacuum. We find that, in the leading order of the…

High Energy Physics - Theory · Physics 2015-06-05 Dimitri Polyakov

A special embedding of the SU(4) algebra in SU(10), including both spin two and spin three symmetry generators, is constructed. A possible five dimensional action for massless spin two and three fields with cubic interaction is constructed.…

High Energy Physics - Theory · Physics 2015-06-15 R. Manvelyan , K. Mkrtchyan , R. Mkrtchyan , S. Theisen