Gauge fixing of open superstring field theory in the Berkovits non-polynomial formulation

TL;DR

This paper thoroughly analyzes gauge fixing in Berkovits' open superstring field theory, detailing the process in the free and interacting theories, including the structure of ghosts and antifields within the BV formalism.

Contribution

It provides a complete gauge fixing procedure for the free theory and explicitly determines the cubic interaction terms in the BV formalism for the interacting theory.

Findings

Complete gauge fixing in the free theory with infinite ghosts.

Explicit form of cubic interactions in the BV formalism.

Detailed structure of ghosts and antifields in the gauge fixing process.

Abstract

We consider gauge fixing of open superstring field theory formulated by Berkovits, concentrating on the Neveu-Schwarz sector. In the free theory, we perform gauge fixing completely, which requires infinitely many ghosts and antighosts carrying various world-sheet ghost numbers and picture numbers. In the interacting theory, we have determined the form of interactions cubic in fields and antifields in the Batalin-Vilkovisky formalism.