String Amplitudes and Frame-like Formalism for Higher Spins

Abstract

We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating extra fields to the dynamical frame-like field and relation between dynamical frame-like field and fully symmetric Fronsdal's field for spin 3 are all realized in terms of BRST constraints on these vertex operators in string theory. Using the construction, we analyze the 3-point correlator for spin 3 field and calculate Chern-Simons type cubic interactions described by 3-derivative Berends-Burgers-van Dam (BBD) type vertex in the frame-like formalism.

25 pages

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Cited by in corpus (5)

• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Generating functions of (partially-)massless higher-spin cubic interactions
• Higher Spin Holography and AdS String Sigma-Model
• String Theory and Emergent AdS Geometry in Higher Spin Field Theories
• Higher Spin Contributions to Holographic Fluid Dynamics in $Ad{S}_5/CF{T}_4$