Minimal model of Chiral Higher Spin Gravity

TL;DR

This paper develops a covariant formulation of Chiral Higher Spin Gravity in four dimensions, extending previous light-cone gauge results and providing a comprehensive algebraic and geometric understanding of the theory.

Contribution

It constructs a covariant form of the field equations for Chiral Higher Spin Gravity, completing prior light-cone gauge analysis and incorporating algebraic structures like $L_$-algebras.

Findings

Covariant field equations for Chiral Higher Spin Gravity are derived.

The formulation includes information about counterterms and anomalies.

The work completes the algebraic and geometric understanding of the theory.

Abstract

A unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was first found in the light-cone gauge. We construct a covariant form of the corresponding field equations in all orders, thus completing the previous analysis of arXiv:2204.10285. This result is equivalent to taking the minimal model (in the sense of $L_\infty$-algebras) of the jet-space BV-BRST formulation of Chiral Higher Spin Gravity, thereby, containing also information about counterterms, anomalies, etc.