New analytic solutions in String Field Theory: towards collective Higher Spin vacuum

TL;DR

This paper constructs analytic pure ghost solutions in superstring field theory, proposing they represent a collective higher spin vacuum, advancing understanding of string field configurations.

Contribution

It introduces new analytic solutions involving Bell polynomials and ghost exponents, suggesting a collective higher spin vacuum in open string theory.

Findings

Solutions are pure ghost and constructed from Bell polynomials.

Proposed solutions describe a collective vacuum for higher spin modes.

Conjecture supported by the structure of the solutions.

Abstract

We construct analytic solutions in cubic open superstring field theory at higher superconformal ghost numbers.The solutions are the pure ghost ones and are given by combinations of Bell polynomials of bosonized superconformal ghost fields multiplied by exponents of the bosonized ghosts. Based on the structure of the solutions, we conjecture them to describe the ghost part of collective vacuum for higher spin modes in open string theory.