Supersymmetric higher spin models in three dimensional spaces
type: Item
instance of: scholarly article
title: Supersymmetric higher spin models in three dimensional spaces
zbMATH Open document ID: 1390.81573
author: T. V. Snegirev
author: Yu. M. Zinoviev
author: I. L. Buchbinder
published in: Symmetry
publication date: 2018-06-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.11450
review text: Summary: We review the component Lagrangian construction of the supersymmetric higher spin models in three-dimensional (3D) Minkowski and anti de Sitter \((AdS)\) spaces. The approach is based on the frame-like gauge-invariant formulation, where massive higher spin fields are realized through a system of massless ones. We develop a supersymmetric generalization of this formulation to the Lagrangian construction of the on-shell \(\mathcal N=1\), 3D higher spin supermultiplets. In 3D Minkowski space, we show that the massive supermultiplets can be constructed from one extended massless supermultiplet by adding the mass terms to the Lagrangian and the corresponding corrections to the supertransformations of the fermionic fields. In 3D \(A d S\) space, we construct massive supermultiplets using a formulation of the massive fields in terms of the set of gauge-invariant objects (curvatures) in the process of their consistent supersymmetric deformation.
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 81T10
zbMATH DE Number: 6893766
zbMATH Keywords: supersymmetry
zbMATH Keywords: higher spins
zbMATH Keywords: three-dimensional space times
zbMATH Keywords: gauge invariance
MaRDI profile type: Publication
OpenAlex ID: W2963294160
arXiv ID: 1711.11450
cites work: Superspace. One thousand and one lessons in supersymmetry. With a foreword by David Pines
cites work: Q4838143
cites work: Harmonic superspace
cites work: Higher spin gauge theories in various dimensions
cites work: Massive \(N=1\) supermultiplets with arbitrary superspins
cites work: Frame-like gauge invariant formulation for massive high spin particles
cites work: Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
cites work: Dynamical superfield theory of free massive superspin-1 multiplet
cites work: Off-shell massive \(\mathcal{N} = 1\) supermultiplets in three dimensions
cites work: Lagrangian formulation of irreducible massive fields of arbitrary spin in \((2+1)\) dimensions
cites work: Lagrangian description of massive higher spin supermultiplets in \(\mathrm{AdS}_{3}\) space
cites work: Towards the Fradkin-Vasiliev formalism in three dimensions
cites work: Towards metric-like higher spin gauge theories in three dimensions
DOI: 10.3390/SYM10010009
description: scientific article