Chiral approach to partially-massless fields

TL;DR

This paper introduces a novel chiral framework for describing partially-massless fields in four dimensions, enabling the construction of higher spin gravities with interactions, inspired by twistor theory and pure connection formulations.

Contribution

It presents a new chiral description of partially-massless fields, including the graviton, facilitating the development of interacting higher spin gravity models.

Findings

Developed a chiral formulation similar to pure connection gravity.

Constructed examples of higher spin gravities with Yang-Mills interactions.

Enabled inclusion of current interactions in partially-massless field theories.

Abstract

We propose a new (chiral) description of partially-massless fields in $4d$, including the partially-massless graviton, that is similar to the pure connection formulation for gravity and massless higher spin fields, the latter having a clear twistor origin. The new approach allows us to construct complete examples of higher spin gravities with (partially-)massless fields that feature Yang--Mills and current interactions.