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In this paper we construct massive supermultiplets out of appropriate set of massless ones in the same way as massive spin s particle could be constructed out of massless spin s,s-1,... ones leading to gauge invariant description of massive…

High Energy Physics - Theory · Physics 2010-10-27 Yu. M. Zinoviev

In this letter we suggest a natural spinor-helicity formalism for massless fields in AdS${}_4$. It is based on the standard realization of the AdS${}_4$ isometry algebra $so(3,2)$ in terms of differential operators acting on…

High Energy Physics - Theory · Physics 2019-03-27 Balakrishnan Nagaraj , Dmitry Ponomarev

In this paper, we fill some gap in the existing literature on higher spins by presenting an explicit solution to the on-shell constraints for a frame-like, gauge invariant description of massive, higher spin fields in d=4. We begin with the…

High Energy Physics - Theory · Physics 2026-05-08 Yu. M. Zinoviev

Massive spin s>=3/2 fields can become partially massless in cosmological backgrounds. In the plane spanned by m^2 and \Lambda, there are lines where new gauge invariances permit intermediate sets of higher helicities, rather than the usual…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

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

The quantum field theory is expanding in de Sitter space-time. The ambient space formalism let us to develop the quantum field theory in a careful mathematical framework. Using the gauge-covariant derivative in the de Sitter ambient space,…

High Energy Physics - Theory · Physics 2019-01-25 S. Falahi , S. Parsamehr

In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations…

High Energy Physics - Theory · Physics 2008-11-26 M. A. Vasiliev

A new twistorial field formulation of a massless infinite spin particle is derived. We find a twistorial infinite spin field and derive its helicity decomposition. The twistorial equations of motion for infinite spin fields in the cases of…

High Energy Physics - Theory · Physics 2019-11-04 I. L. Buchbinder , S. Fedoruk , A. P. Isaev

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal higher spin…

High Energy Physics - Theory · Physics 2009-11-11 I. Bandos , X. Bekaert , J. A. de Azcarraga , D. Sorokin , M. Tsulaia

The symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman

Quantum inequalities have been established for various quantum fields in both flat and curved spacetimes. In particular, for spin-3/2 fields, Yu and Wu have explicitly derived quantum inequalities for massive case. Employing the similar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bo Hu , Yi Ling , Hongbao Zhang

The resolution of $4$-dimensional massless field operators of higher spins was constructed by Eastwood-Penrose-Wells by using the twistor method. Recently physicists are interested in $6$-dimensional physics including the massless field…

Mathematical Physics · Physics 2021-05-12 Qianqian Kang , Wei Wang , Yuchen Zhang

We will give an introduction to the so-called tensorial, matrix or hyperspace approach to the description of massless higher-spin fields.

High Energy Physics - Theory · Physics 2018-01-17 Dmitri Sorokin , Mirian Tsulaia

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No…

High Energy Physics - Theory · Physics 2009-11-11 Nicolas Boulanger , Serge Leclercq

Earlier we obtained quasi-classical equations of motion of spin 1/2 massless particle in a curved spacetime on base of simple Lagrangian model \cite{al2}. Now we suggest an approach to derive the equations in framework of field theory.…

General Relativity and Quantum Cosmology · Physics 2008-05-13 A. T. Muminov

We describe the dimensional reduction of massive and partially massless spin-2 fields on general Einstein direct product manifolds. As with massless fields, the higher-dimensional gauge symmetry of the partially massless field displays…

High Energy Physics - Theory · Physics 2019-09-06 James Bonifacio , Kurt Hinterbichler

Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

Till now most of the results on interaction vertices for massless higher spin fields were obtained in a metric-like formalism using completely symmetric (spin-)tensors. In this, the Lagrangians turn out to be very complicated and the main…

High Energy Physics - Theory · Physics 2014-11-21 Yu. M. Zinoviev