3D Higher-Spin Gauge Theories with Matter

TL;DR

This paper explores non-linear higher-spin gauge theories with matter in 2+1 dimensions, revealing supersymmetry, matter interactions, and a method to simplify the complex equations to free fields.

Contribution

It introduces a model with N=2 supersymmetry for higher-spin interactions involving massive matter fields and provides an integrating flow to reduce non-linear equations to free field equations.

Findings

Model exhibits N=2 supersymmetry

Describes higher-spin interactions of massive hypermultiplets

Provides a non-local mapping to linearize equations

Abstract

This paper is a letter-type version of hep-th/9806236. We discuss properties of non-linear equations of motion which describe higher-spin gauge interactions for massive spin-0 and spin-1/2 matter fields in 2+1 dimensional anti-de Sitter space. The model is shown to have N=2 supersymmetry and to describe higher-spin interactions of d3 N=2 massive hypermultiplets. An integrating flow is found which reduces the full non-linear system to the free field equations via a non-local B\"acklund-Nicolai-type mapping.