New Unfolded Higher Spin Systems in $AdS_3$

TL;DR

This paper develops unfolded formulations for higher spin fields in AdS3, including massive and topologically massive cases, introducing new gauge potential sets and analyzing their gauge invariances.

Contribution

It presents novel unfolded formulations for higher spin fields in AdS3 with parity breaking mass, including critical and topologically massive cases, and introduces two types of gauge potentials.

Findings

Unfolded formulations for massive higher spin fields in AdS3.

Inclusion of parity breaking mass parameter in the formulations.

Introduction of two sets of gauge potentials: trace constrained and trace unconstrained.

Abstract

We investigate the unfolded formulation of bosonic Lorentz tensor fields of arbitrary spin in $AdS_3$ containing a parity breaking mass parameter. They include deformations of the linearisations of the Prokushkin--Vasiliev higher spin theory around its critical points. They also provide unfolded formulations of linearized topologically massive higher spin fields including their critical versions. The gauge invariant degrees of freedom are captured by infinite towers of zero forms. We also introduce two inequivalent sets of gauge potentials given by trace constrained Fronsdal fields and trace unconstrained metric-like fields.