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We derive a class of cubic interaction vertices for three higher spin fields, with integer spins $\lambda_1$, $\lambda_2$, $\lambda_3$, by closing commutators of the Poincar\'e algebra in four-dimensional flat spacetime. We find that these…

High Energy Physics - Theory · Physics 2014-08-29 Y. S. Akshay , Sudarshan Ananth

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

The original cubic interaction terms for higher spin gauge fields in four dimensions and their reformulation using Fock space vertex operators is reviewed. As a new result, the complete list of all cubic vertex functions in D=4 is derived.…

High Energy Physics - Theory · Physics 2016-09-23 Anders K. H. Bengtsson

We present results of investigation into a problem of cubic interaction vertices of massless higher spin fields which transform in arbitrary irreps of the Poincare algebra

High Energy Physics - Theory · Physics 2007-05-23 R. R. Metsaev

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 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 derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and…

High Energy Physics - Theory · Physics 2020-02-25 Y. S. Akshay , Sudarshan Ananth

New method (arXiv:2104.11930) is applied to construct cubic interactions of massless spin 4 and real scalar fields. In contrast with the case of massless spin 3 fields (arXiv:2208.05700, 2209.03678, 2210.02842) the procedure requires to use…

High Energy Physics - Theory · Physics 2022-12-13 P. M. Lavrov

We derive the quartic interaction vertex of pure Yang-Mills theory by demanding closure of the light-cone Poincar\'e algebra in four-dimensional Minkowski spacetime. This calculation explicitly shows why structure constants must satisfy the…

High Energy Physics - Theory · Physics 2020-02-25 Sudarshan Ananth , Aditya Kar , Sucheta Majumdar , Nabha Shah

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 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

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 the framework of light-cone gauge formulation, massless arbitrary spin N=1 supermultiplets in four-dimensional flat space are considered. We study both the integer (super)spin and half-integer (super)spin supermultiplets. For such…

High Energy Physics - Theory · Physics 2019-10-02 R. R. Metsaev

The dynamical commutators of the light-front Poincar\'e algebra yield first order differential equations in the $p^+$ momenta for the interaction vertex operators. The homogeneous solution to the equation for the quartic vertex is studied.…

High Energy Physics - Theory · Physics 2017-02-01 Anders K. H. Bengtsson

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

High Energy Physics - Theory · Physics 2014-09-17 Xian Gao

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

Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between…

High Energy Physics - Theory · Physics 2022-10-05 R. R. Metsaev

We revisit the problem of interactions of higher-spin fields in flat space. We argue that all no-go theorems can be avoided by the light-cone approach, which results in more interaction vertices as compared to the usual covariant…

High Energy Physics - Theory · Physics 2017-03-08 Dmitry Ponomarev , E. D. Skvortsov

Within the light-front approach in flat space, we study the closure of the Poincare algebra at the quartic order, specifically the nonholomorphic constraint involving both MHV and anti-MHV vertices. We first recover some well-established…

High Energy Physics - Theory · Physics 2026-02-16 Mattia Serrani

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev
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