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We present an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space in terms of spinorial variables. This system arises from the on-shell one by the addition of external higher-spin currents, for which we…

High Energy Physics - Theory · Physics 2021-12-21 Nikita Misuna

We present off-shell generating functions for all cubic interactions of totally symmetric massless Higher Spin gauge fields and discuss their properties.

High Energy Physics - Theory · Physics 2015-05-27 Karapet Mkrtchyan

Continuing our exploration of maximally supersymmetric gauge theories (MSYM) deformed by higher dimensional operators, in this paper we consider an off-shell approach based on pure spinor superspace and focus on constructing supersymmetric…

High Energy Physics - Theory · Physics 2014-03-13 Chi-Ming Chang , Ying-Hsuan Lin , Yifan Wang , Xi Yin

We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is…

High Energy Physics - Theory · Physics 2024-09-27 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We report on a recent progress in constructing off-shell ${\cal N}=2, 4D$ supersymmetric integer higher-spin theory in terms of unconstrained harmonic analytic gauge superfields and their cubic interaction with the matter hypermultiplets.…

High Energy Physics - Theory · Physics 2023-06-30 Evgeny Ivanov

Lagrangians for several new off-shell 4D, N = 1 supersymmetric descriptions of massive superspin-1 and superspin-3/2 multiplets are described. Taken together with the models previously constructed, there are now four off-shell formulations…

High Energy Physics - Theory · Physics 2012-08-27 I. L. Buchbinder , S. James Gates, , S. M. Kuzenko , J. Phillips

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

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

We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like…

High Energy Physics - Theory · Physics 2017-09-13 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d=3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly…

High Energy Physics - Theory · Physics 2015-10-02 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

Vasiliev's higher-spin theories in various dimensions are uniformly represented as a simple system of equations. These equations and their gauge invariances are based on two superalgebras and have a transparent algebraic meaning. For a…

High Energy Physics - Theory · Physics 2015-06-23 K. B. Alkalaev , Maxim Grigoriev , E. D. Skvortsov

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

We propose higher spin supercurrent multiplets for ${\cal N}=1$ supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of…

High Energy Physics - Theory · Physics 2018-09-26 Evgeny I. Buchbinder , Jessica Hutomo , Sergei M. Kuzenko

In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N=1 supermultiplets containing partially massless fields in…

High Energy Physics - Theory · Physics 2019-10-02 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

On the base of the notion of N=2 abelian Yang-Mills supergeometry with constant curvature, we propose an off-shell formulation for the massive q-hypermultiplet and complex $\omega$-hypermultiplet in the standard harmonic superspase without…

High Energy Physics - Theory · Physics 2010-04-06 Sergei M. Kuzenko

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

We construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Dimitri Polyakov

We examine the higher-spin gauge models which are free on-shell and whose cubic vertex is BRST-exact. We show that these are free off-shell as well as on-shell. The key equation for this relates the derivative of the total deformed action…

High Energy Physics - Theory · Physics 2025-02-28 Ryota Fujii , Makoto Sakaguchi

Off-shell actions for massless higher-spin $\mathcal{N}=1$ supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the…

High Energy Physics - Theory · Physics 2025-10-21 Evgeny I. Buchbinder , Sergei M. Kuzenko , Igor B. Samsonov