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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

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

We derive fully explicit equations of motion, and the associated set of constraints, describing the propagation in a flat space-time of a charged spin-3/2 massive state in a constant electromagnetic background. For this purpose, we provide…

High Energy Physics - Theory · Physics 2023-03-22 Karim Benakli , Cassiano A. Daniel , Wenqi Ke

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries…

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

We study the relation between a supermatrix model and the free 4D, N=1 supersymmetric field theory of a massless supermultiplet with spins (3, 5/2). In order to do this, we construct a superfield formulation of the theory. We show that…

High Energy Physics - Theory · Physics 2008-11-26 Takashi Saitou

We construct the Lagrangian description of arbitrary integer higher spin massless fields on the background of the D-dimensional anti-de Sitter space. The operator constraints in auxiliary Fock space corresponding to subsidiary conditions…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Pashnev , M. Tsulaia

Maximally supersymmetric theories do not allow off-shell superspace formulations with traditional superfields containing a finite set of auxiliary fields. It has become clear that off-shell supersymmetric action formulations of such models…

High Energy Physics - Theory · Physics 2015-06-16 Martin Cederwall

We present new off-shell formulations for the massive superspin-3/2 multiplet. In the massless limit, they reduce respectively to the old minimal (n=-1/3) and non-minimal ($n\neq -1/3, 0$) linearized formulations for 4D N=1 supergravity.…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

In this paper we give explicit construction of massive N=1 supermultiplets in flat d=4 Minkowski space-time. We work in a component on-shell formalism based on gauge invariant description of massive integer and half-integer spin particles…

High Energy Physics - Theory · Physics 2008-11-26 Yu. M. Zinoviev

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a…

High Energy Physics - Theory · Physics 2021-04-12 Friedemann Brandt

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

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian…

High Energy Physics - Theory · Physics 2009-06-19 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model…

High Energy Physics - Theory · Physics 2015-05-20 Kai E. Wunderle , Rainer Dick

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin…

High Energy Physics - Theory · Physics 2022-01-05 Mojtaba Najafizadeh

We review the superspace technique to determine supersymmetric spacetimes in the framework of off-shell formulations for supergravity in diverse dimensions using the case of 3D N=2 supergravity theories as an illustrative example. This…

High Energy Physics - Theory · Physics 2015-05-01 Sergei M. Kuzenko

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

In this paper, the low-energy effective dynamics of M-theory, eleven-dimensional supergravity, is taken off-shell in a manifestly supersymmetric formulation. We show that a previously proposed relaxation of the superspace torsion…

High Energy Physics - Theory · Physics 2009-10-31 Martin Cederwall , Ulf Gran , Mikkel Nielsen , Bengt EW Nilsson

In this paper, a gauge invariant description of massive higher spin bosonic and fermionic particles in frame-like Lagrangian and unfolded formalism in (A)dS${}_4$ is built. A complete set of gauge invariant object is also constructed and…

High Energy Physics - Theory · Physics 2019-10-01 M. V. Khabarov , Yu. M Zinoviev

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