Higher Spins and Open Strings: Quartic Interactions

Abstract

We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their four-point amplitudes in superstring theory. The kinematic part of the quartic interactions of the higher spins is determined by the matter structure of their vertex operators;the non-locality of the interactions is the consequence of specific ghost structure of these operators. We compute explicitly the four-point amplitude describing the complete gauge-invariant $1-1-3-3$ quartic interaction (two massless spin 3 particles interacting with two photons) and comment on more general $1-1-s-s$ cases, particularly pointing out the structure of $1-1-5-5$ coupling.

26 pages, misprints corrected, discussion added in the concluding section

References in corpus (38)

• AdS Dual of the Critical O(N) Vector Model
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Massless Higher Spins and Holography
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Stringy gravity, interacting tensionless strings and massless higher spins
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• D-Branes and Dual Gauge Theories in Type 0 String Theory
• String Lessons for Higher-Spin Interactions
• Free geometric equations for higher spins
• On stringy AdS_5 x S^5 and higher spin holography
• How massless are massless fields in $Ad{S}_d$
• On the geometry of higher-spin gauge fields
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• AdS_4/CFT_3 Construction from Collective Fields
• General trilinear interaction for arbitrary even higher spin gauge fields
• On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
• Geometric Formulation for Partially Massless Fields
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Current Exchanges and Unconstrained Higher Spins
• A generating function for the cubic interactions of higher spin fields
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Frame-like gauge invariant formulation for massive high spin particles
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• No Self-Interaction for Two-Column Massless Fields
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Spin 3 cubic vertices in a frame-like formalism
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• Interactions of Massless Higher Spin Fields From String Theory
• Higher Spins and String Interactions
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• "Massive" Higher Spin Multiplets and Holography
• Gravitational Couplings of Higher Spins from String Theory
• New BRST Charges in RNS Superstring Theory and deformed Pure Spinors
• Conformal Moduli and b-c Pictures for NSR Strings
• Ground Ring of Alpha-Symmetries and Sequence of RNS String Theories

Cited by in corpus (32)

• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• On the uniqueness of higher-spin symmetries in AdS and CFT
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Towards metric-like higher-spin gauge theories in three dimensions
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Generating functions of (partially-)massless higher-spin cubic interactions
• Cubic interactions of Maxwell-like higher spins
• On quantum corrections in higher-spin theory in flat space
• Classical Limit of Higher-Spin String Amplitudes
• Collective Dipole Model of AdS/CFT and Higher Spin Gravity
• Higher Spin Scattering in Superstring Theory
• 6d conformal gravity
• Pseudo-local Theories: A Functional Class Proposal
• Higher Level String Resonances in Four Dimensions
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality
• A String Model for AdS Gravity and Higher Spins
• Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Aspects of Higher-Spin Theory with Fermions
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
• Conformal totally symmetric arbitrary spin fermionic fields
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• Scattering of massive open strings in pure spinor
• String Amplitudes and Frame-like Formalism for Higher Spins
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Higher Spins at the Quintic Order: Localization Effect and Simplifications
• String Theory and Emergent AdS Geometry in Higher Spin Field Theories
• Higher Spin Contributions to Holographic Fluid Dynamics in $Ad{S}_5/CF{T}_4$
• Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins