On the BV formulation of boundary superstring field theory

TL;DR

This paper develops a Batalin-Vilkovisky formulation for boundary superstring field theory, defining the action via a closed one-form and relating it to the disc partition function, with explicit calculations for tachyon perturbations.

Contribution

It introduces a BV framework for boundary superstring field theory and explicitly computes the action for certain tachyon perturbations, linking it to the disc partition function.

Findings

Explicit BV superstring field action for tachyon perturbations

Confirmation that the action equals the disc partition function

Framework consistent with previous proposals

Abstract

We propose a Batalin-Vilkovisky (BV) formulation of boundary superstring field theory. The superstring field action is defined in terms of a closed one-form in the space of couplings, and we compute it explicitly for exactly solvable tachyon perturbations. We also argue that the superstring field action defined in this way is the partition function on the disc, in accord with a previous proposal.