Higher Spins as Rolling Tachyons in Open String Field Theory

TL;DR

This paper presents an analytic solution in open string field theory that generates higher spin states, linking rolling tachyon dynamics to higher spin interactions and suggesting a cosmological evolution pattern.

Contribution

It introduces a novel analytic solution connecting rolling tachyons with higher spin vertex operators in open string field theory.

Findings

Solution generates a tower of higher spin states

Links irregular off-shell vertex operators to rolling tachyon equations

Suggests cosmological evolution pattern in string theory

Abstract

We find a simple analytic solution in open string field theory which, in the on-shell limit, generates a tower of higher spin vertex operators in bosonic string theory. The solution is related to irregular off-shell vertex operators for Gaiotto states. The wavefunctions for the irregular vertex operators are described by equations following from the cubic effective action for generalized rolling tachyons, indicating that the evolution from flat to collective higher-spin background in string field theory occurs according to cosmological pattern. We discuss the relation between nonlocalities of the rolling tachyon action and those of higher spin interactions.