Interacting Higher Spins and the High Energy Limit of the Bosonic String

TL;DR

This paper constructs a BRST invariant cubic vertex for massless mixed symmetry fields in flat space, leveraging string field theory methods, and discusses potential extensions to curved spacetime.

Contribution

It introduces a novel cubic vertex construction for arbitrary mixed symmetry massless fields, based on open string field theory, with implications for gauge algebra closure.

Findings

Gauge transformations form a closed algebra without higher-order couplings.

The construction is based on the vertex from bosonic open string field theory.

Potential generalizations to curved spacetime are discussed.

Abstract

In this note, we construct a BRST invariant cubic vertex for massless fields of arbitrary mixed symmetry in flat space-time. The construction is based on the vertex given in bosonic Open String Field Theory. The algebra of gauge transformations is closed without any additional, higher than cubic, couplings due to the presence of an infinite tower of massless fields. We briefly discuss the generalization of this result to a curved space-time and other possible implications.