String theory triplets and higher-spin curvatures

TL;DR

This paper explores the geometric formulation of higher-spin gauge theories using curvatures, derived from string theory triplets, and shows their potential role in dynamics beyond traditional constraints.

Contribution

It introduces new geometric Lagrangians for higher-spin fields derived from string theory triplets, emphasizing the role of curvatures without relying on conventional constraints.

Findings

Derived geometric Lagrangians as squares of field-strengths.

Showed higher-spin curvatures can be fundamental in dynamics.

Applied to both bosonic and fermionic fields.

Abstract

Unconstrained local Lagrangians for higher-spin gauge theories are bound to involve auxiliary fields, whose integration in the partition function generates geometric, effective actions expressed in terms of curvatures. When applied to the triplets, emerging from the tensionless limit of open string field theory, the same procedure yields interesting alternative forms of geometric Lagrangians, expressible for both bosons and fermions as squares of field-strengths. This shows that higher-spin curvatures might play a role in the dynamics, regardless of whether the Fronsdal-Labastida constraints are assumed or forgone.