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

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.

Published Version; typos corrected, references added; (v3) Some typos corrected and a minor clarification about eq. (3.29)

References in corpus (4)

• Consistency Conditions on the S-Matrix of Massless Particles
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Quartet unconstrained formulation for massless higher spin fields
• Massless Higher Spin Fields in the AdS Background and BRST Constructions for Nonlinear Algebras

Cited by in corpus (4)

• Consistency Conditions on the S-Matrix of Massless Particles
• Geometric Lagrangians for massive higher-spin fields
• On manifestly sp(2) invariant formulation of quadratic higher spin Lagrangians
• On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach