A singular one-parameter family of solutions in cubic superstring field theory

TL;DR

This paper constructs a one-parameter family of solutions in cubic superstring field theory, revealing different vacuum states including the tachyon vacuum, perturbative vacuum, and half brane solution through gauge transformations and energy evaluations.

Contribution

It introduces a novel one-parameter family of solutions in superstring field theory and analyzes their physical interpretations via energy calculations.

Findings

Most parameter values correspond to the tachyon vacuum.

Two singular points correspond to the perturbative vacuum and half brane solution.

The solutions are generated through gauge transformations of an identity-like solution.

Abstract

Performing a gauge transformation of a simple identity-like solution of superstring field theory, we construct a one-parameter family of solutions, and by evaluating the energy associated to this family, we show that for most of the values of the parameter the solution represents the tachyon vacuum, except for two isolated singular points where the solution becomes the perturbative vacuum and the half brane solution.