Interactions of Massless Higher Spin Fields From String Theory

Abstract

We construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell conditions for the higher spins (including tracelessness and vanishing divergence) follow from the BRST-invariance conditions for the vertex operators constructed in this paper. The gauge symmetries of the massless higher spins emerge as a result of the BRST nontriviality conditions for these operators, being equivalent to transformations with the traceless gauge parameter in the Fronsdal's approach. The gauge invariance of the interaction terms of the higher spins is therefore ensured automatically by that of the vertex operators in string theory. We develop general algorithm to compute the cubic interactions of the massless higher spins and use it to explicitly describe the gauge-invariant interaction of two $s=3$ and one $s=4$ massless particles.

33 pages, derivation of gauge transformations for higher spin fields from BRST conditions revised, typos corrected, acknowledgement and references added

References in corpus (9)

• Current Exchanges and Unconstrained Higher Spins
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• "Massive" Higher Spin Multiplets and Holography
• New BRST Charges in RNS Superstring Theory and deformed Pure Spinors
• Ground Ring of Alpha-Symmetries and Sequence of RNS String Theories

Cited by in corpus (37)

• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• String Lessons for Higher-Spin Interactions
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• A generating function for the cubic interactions of higher spin fields
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• Spin 3 cubic vertices in a frame-like formalism
• Cubic interactions of Maxwell-like higher spins
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• String theory triplets and higher-spin curvatures
• From Higher Spins to Strings: A Primer
• Classical Limit of Higher-Spin String Amplitudes
• Higher Spins and Open Strings: Quartic Interactions
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Higher Spin Scattering in Superstring Theory
• Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• 6d conformal gravity
• Higher Level String Resonances in Four Dimensions
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• A String Model for AdS Gravity and Higher Spins
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Hierarchy of Supersymmetric Higher Spin Connections
• Aspects of Higher-Spin Theory with Fermions
• String Amplitudes and Frame-like Formalism for Higher Spins
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Conformal to Harmonic Gauge for Bosonic Strings
• Higher Spins at the Quintic Order: Localization Effect and Simplifications
• Solutions for Mixed States in Open Bosonic String Theory
• Higher spin fields with reversed spin-statistics relation
• Higher-Spin Gauge Models in the BRST-antifield Formalism
• Higher Spin Gravity and Exact Holography
• New analytic solutions in String Field Theory: towards collective Higher Spin vacuum
• String Theory and Emergent AdS Geometry in Higher Spin Field Theories