On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations

TL;DR

This paper develops an off-shell framework for cubic and quartic interactions of massless higher spin fields, explores the applicability of BCFW recursion relations, and discusses potential need for extended objects for consistency.

Contribution

It introduces an off-shell extension of higher spin interaction vertices derived from string theory and investigates the conditions for applying BCFW recursion relations to these theories.

Findings

Off-shell cubic vertices constructed from string theory.

Example of higher quartic interaction vertex.

BCFW recursion relations may be applicable with extensions.

Abstract

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic interaction vertices using a simple particular example. We examine whether BCFW recursion relations for interacting Higher Spin theories are applicable. We argue that for several interesting examples such relations should exist, but consistency of the theories might require that we supplement Higher Spin field theories with extended and possibly non-local objects.