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)

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• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
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• Consistency Conditions on the S-Matrix of Massless Particles
• Universal Limits on Massless High-Spin Particles
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• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• FV-type action for AdS(5) mixed-symmetry fields
• Geometric Lagrangians for massive higher-spin fields
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• Higher Spins and Open Strings: Quartic Interactions
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• BRST approach to Lagrangian formulation of bosonic totally antisymmeric tensor fields in curved space
• Geometry and dynamics of higher-spin frame fields
• On manifolds admitting the consistent Lagrangian formulation for higher spin fields
• BRST Lagrangian construction for spin-2 field in Einstein space
• Hierarchy of Supersymmetric Higher Spin Connections
• On manifestly sp(2) invariant formulation of quadratic higher spin Lagrangians
• Aspects of Higher-Spin Theory with Fermions
• On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• Higher-Spin Gauge Models in the BRST-antifield Formalism