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We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

We show that the massless higher spin four-dimensional particle model with bosonic counterpart of N=1 supersymmetry respects SU(3,2) invariance. We extend this particle model to a superparticle possessing $SU(3,2|1)$ supersymmetry which is…

High Energy Physics - Theory · Physics 2008-11-26 S. Fedoruk , E. Ivanov , J. Lukierski

We study actions for massive bosonic particles of higher spins by dimensionally reducing an action for massless particles. For the latter we take a model with a SO(N) extended local supersymmetry on the worldline, that is known to describe…

High Energy Physics - Theory · Physics 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We formulate four dimensional higher spin gauge theories in spacetimes with signature (4-p,p) and nonvanishing cosmological constant. Among them are chiral models in Euclidean (4,0) and Kleinian (2,2) signature involving half-flat gauge…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Iazeolla , Ergin Sezgin , Per Sundell

We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer $n>2$ we introduce a conformal spin-$\frac{n}{2}$ gauge field $h_{(n)} =h_{\alpha_1\dots \alpha_n}$ (with $n$ spinor indices) of…

High Energy Physics - Theory · Physics 2018-11-14 Sergei M. Kuzenko , Michael Ponds

We study the large gauge transformations of massless higher-spin fields in four-dimensional Minkowski space. Upon imposing suitable fall-off conditions, providing higher-spin counterparts of the Bondi gauge, we observe the existence of an…

High Energy Physics - Theory · Physics 2017-08-23 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

We study a very general four dimensional Field Theory model describing the dynamics of a massless higher spin $N$ symmetric tensor field particle interacting with a geometrical background.This model is invariant under the action of an…

High Energy Physics - Theory · Physics 2015-06-11 Giuseppe Bandelloni

Through their respective sigma models, a bosonic string and a superstring can be coupled to (super)gravity fields. These are subsequently forced to satisfy their right classical equation of motions, as a consequence of quantization of the…

High Energy Physics - Theory · Physics 2023-04-26 Eugenia Boffo

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac…

High Energy Physics - Theory · Physics 2015-07-15 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

The Maxwell-covariant particle model is formulated in tensorial extended D=4 space-time (x_mu, z_{mu nu}) parametrized by ten-dimensional coset of D=4 Maxwell group, with added auxiliary Weyl spinors lambda_alpha, y^alpha. We provide the…

High Energy Physics - Theory · Physics 2015-06-11 Sergey Fedoruk , Jerzy Lukierski

We use the light-cone gauge formalism to study interactions of point particles with massless higher-spin fields. By analysing the light-cone consistency conditions at the subleading order in higher-spin fields, we find that no local…

High Energy Physics - Theory · Physics 2025-06-27 Vyacheslav Ivanovskiy , Dmitry Ponomarev

In this article, an introduction to the nonlinear equations for completely symmetric bosonic higher spin gauge fields in anti de Sitter space of any dimension is provided. To make the presentation self-contained we explain in detail some…

High Energy Physics - Theory · Physics 2020-06-15 X. Bekaert , S. Cnockaert , C. Iazeolla , M. A. Vasiliev

Spinning particles in curved space-time can have fermionic symmetries generated by the square root of bosonic constants of motion other than the Hamiltonian. We present a general analysis of the conditions under which such new…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , R. H. Rietdijk , J. W. van Holten

SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing…

High Energy Physics - Theory · Physics 2025-09-25 Xavier Bekaert , Alexey Sharapov , Evgeny Skvortsov

Super Feynman rules for any superspin are given for massive $ \mathcal{N}=1 $ supersymmetric theories, including momentum superspace on-shell legs. This is done by extending, from space to superspace, Weinberg's perturbative approach to…

High Energy Physics - Theory · Physics 2015-10-27 Enrique Jiménez

We develop a manifestly conformal approach to describe linearised (super)conformal higher-spin gauge theories in arbitrary conformally flat backgrounds in three and four spacetime dimensions. Closed-form expressions in terms of gauge…

High Energy Physics - Theory · Physics 2019-06-26 Sergei M. Kuzenko , Michael Ponds

We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a…

High Energy Physics - Theory · Physics 2019-05-22 I. L. Buchbinder , S. James Gates , K. Koutrolikos

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 exploit the supersymmetric invariant restrictions (SUSYIRs) on the supervariables to derive the nilpotent N = 2 SUSY transformations for the supersymmetric quantum mechanical model of the motion of a charged particle in the X-Y plane…

High Energy Physics - Theory · Physics 2015-03-06 S. Krishna , R. P. Malik

Pseudoclassical supersymmetric model to describe massive particles with higher spins (integer and half-integer) in $2+1$ dimensions is proposed. The quantization of the model leads to the minimal (with only one polarization state) quantum…

High Energy Physics - Theory · Physics 2014-11-18 D. M. Gitman , I. V. Tyutin
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