On Nonperturbative Solutions of Superstring Field Theory

TL;DR

This paper presents a method for obtaining nonperturbative solutions in superstring field theory using a linear equation with a spectral parameter, enabling explicit construction of classical solutions related to D-brane decay.

Contribution

It introduces a novel approach leveraging a dressing method-inspired ansatz to find nonperturbative solutions in superstring field theory from a simple linear equation.

Findings

Constructed classical superstring fields from a linear equation with spectral parameter.

Applied the method to decay of non-BPS D9 branes and tachyon vacuum solutions.

Outlined explicit computation procedures for classical solutions in vacuum superstring field theory.

Abstract

Nonperturbative solutions to the nonlinear field equations in the NS sector of cubic as well as nonpolynomial superstring field theory can be obtained from a linear equation which includes a "spectral" parameter \lambda and a coboundary operator Q(\lambda). We borrow a simple ansatz from the dressing method (for generating solitons in integrable field theories) and show that classical superstring fields can be constructed from any string field T subject merely to Q(\lambda)T=0. Following the decay of the non-BPS D9 brane in IIA theory and shifting the background to the tachyon vacuum, we repeat the arguments in vacuum superstring field theory and outline how to compute classical solutions explicitly.