On Gauge Equivalence of Tachyon Solutions in Cubic Neveu-Schwarz String Field Theory

TL;DR

This paper presents an analytic solution for cubic Neveu-Schwarz String Field Theory with the GSO(-) sector, demonstrating gauge equivalence with known solutions and supporting their identical action densities.

Contribution

It introduces a new analytic solution for the NS string tachyon in the GSO(-) sector and explicitly constructs gauge transformations to known solutions.

Findings

The new solution is gauge equivalent to existing solutions.

Gauge transformations explicitly relate different tachyon solutions.

All solutions have the same action density, confirming their physical equivalence.

Abstract

Simple analytic solution to cubic Neveu-Schwarz String Field Theory including the $GSO(-)$ sector is presented. This solution is an analog of the Erler-Schnabl solution for bosonic case and one of the authors solution for the pure $GSO(+)$ case. Gauge transformations of the new solution to others known solutions for the $NS$ string tachyon condensation are constructed explicitly. This gauge equivalence manifestly supports the early observed fact that these solutions have the same value of the action density.