Gauge equivalence of tachyon solutions in the cubic Neveu–Schwarz string field theory

We construct a simple analytic solution of the cubic Neveu–Schwarz (NS) string field theory including the GSO$(-)$ sector. This solution is analogous to the Erler–Schnabl solution in the bosonic case and to the solution in the pure GSO$(+)$ case previously proposed by one of us. We construct exact gauge transformations of the new solution to other known solutions for the NS string tachyon condensation. This gauge equivalence manifestly supports the previous observation that the Erler solution for the pure GSO$(+)$ sector and our solution containing both the GSO$(+)$ and the GSO$(-)$ sectors have the same value of the action density.