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We construct an unfolded system for off-shell fields of arbitrary integer spin in 4d anti-de Sitter space. To this end we couple an on-shell system, encoding Fronsdal equations, to external Fronsdal currents for which we find an unfolded…

High Energy Physics - Theory · Physics 2022-01-03 N. G. Misuna

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

High Energy Physics - Theory · Physics 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev

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 provide a review of gauge field theories with higher spin, focusing on the classical theory of massless bosons in flat Minkowski spacetime. A brief introduction to the concept of spin is provided along with a historical review of some of…

High Energy Physics - Theory · Physics 2018-09-10 Ivan Vuković

We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1],…

High Energy Physics - Theory · Physics 2022-02-08 Mojtaba Najafizadeh

We construct and analyze unfolded off-shell systems for chiral and vector supermultiplets using multispinor formalism and external currents. We find that auxiliary variables of multispinor formalism allow for the interesting reorganization…

High Energy Physics - Theory · Physics 2023-03-22 N. G. Misuna

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

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 derive the product law for the simplest multi-particle higher-spin algebra $M_2(A)$ and its factor-algebra $M^2(A)$ with rank-one fields factored out. Equations of motion for the systems resulting from these algebras are analysed. We…

High Energy Physics - Theory · Physics 2019-10-02 I. S. Degtev , M. A. Vasiliev

In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary…

High Energy Physics - Theory · Physics 2024-08-21 A. S. Bychkov , K. A. Ushakov , M. A. Vasiliev

Motivated by the generation of action principles from off-shell dualisation, we present a general class of free, topological theories in three dimensional Minkowski spacetime that exhibit higher-spin gauge invariance. In the spin-two case,…

High Energy Physics - Theory · Physics 2023-12-07 Nicolas Boulanger , Andrea Campoleoni , Victor Lekeu , Evgeny Skvortsov

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and $AdS_4$ are described within the unfolded dynamics approach. The current cohomology associated with non-zero conserved…

High Energy Physics - Theory · Physics 2016-01-21 O. A. Gelfond , M. A. Vasiliev

Extending our prior investigation, we give a new off-shell construction of theories of spinning particles propagating in Minkowski spaces with arbitrary $N$-extended supersymmetry on the world-line. The basis of the new off-shell…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Lubna Rana

We construct an unfolded system that describes an on-shell free massless hypermultiplet and show that the standard harmonic superspace formulation of this model naturally arises from the "vielbeinization" of unfolded 1-forms associated to…

High Energy Physics - Theory · Physics 2026-04-07 Nikita Misuna

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that the unfolded equations of free massless fields, that have a form of multidimensional…

High Energy Physics - Theory · Physics 2009-10-21 O. A. Gelfond , M. A. Vasiliev

We present a new method of deriving the off-shell spectrum of supergravity and massless $4D,~\mathcal{N}=1$ higher spin multiplets without the need of an action and based on a set of natural requirements: (a.) existence of an underlying…

High Energy Physics - Theory · Physics 2017-12-06 S. James Gates , Konstantinos Koutrolikos

This thesis presents the general structure of non-conformal higher-spin supercurrent multiplets in three and four spacetime dimensions. Such supercurrents are in one-to-one correspondence with off-shell massless higher-spin gauge…

High Energy Physics - Theory · Physics 2020-09-03 Jessica Hutomo

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

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

In this note, we present a novel formulation of 4d pure Yang-Mills theory within the unfolded framework of Vasiliev higher-spin gravity. This formulation is first-order and exhibits manifest diffeomorphism and gauge invariance. Our approach…

High Energy Physics - Theory · Physics 2026-01-12 Nikita Misuna
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