Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions

TL;DR

This paper constructs supersymmetric Lagrangians for free massless higher spin fields across multiple dimensions, revealing a unified approach to higher- and lower-spin supermultiplets in various spacetime dimensions.

Contribution

It introduces a novel framework for supersymmetric higher spin theories in diverse dimensions, including reducible representations and mixed-symmetry fields.

Findings

Supersymmetric Lagrangians constructed in D=3,4,6,10.

Models describe higher- and lower-spin supermultiplets uniformly.

Inclusion of mixed-symmetry fields in the models.

Abstract

We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincare group.The fermionic part of these models consists of spinor-tensor fields which are totally symmetrical with respect to their tensor indices, while the bosonic part contains totally symmetric tensor fields as well as the simplest mixed-symmetry fields. A peculiar feature of these models is that they describe higher- and lower-spin supermultiplets in different dimensions in a uniform way.