Higher Spin Theories from Finsler Geometry

TL;DR

This paper explores how Finsler geometry can serve as a framework for constructing higher-spin theories, linking Finsler metrics of constant flag curvature to higher-spin field equations.

Contribution

It demonstrates that Finsler geometry, specifically constant flag curvature metrics, can encode higher-spin fields and derive their equations of motion.

Findings

Finsler metrics of constant flag curvature relate to higher-spin fields.

Fronsdal's equations can be derived from Finsler geometric equations.

Finsler geometry offers a new approach to higher-spin theories.

Abstract

We provide observations that Finsler geometry could be useful tools to construct higher-spin theories. We suggest that a Finsler metric of constant flag curvature can be regarded as a metric encoding higher-spin fields. We also show that the Fronsdal's equations for free higher-spin fields can be derived from equations of motion of constant curvature in Finsler geometry.