Open-closed homotopy algebra in superstring field theory

TL;DR

This paper develops an algebraic framework for open-closed superstring interactions, enabling classical open superstring field theory on diverse backgrounds and connecting homotopy algebra with WZW-like formulations.

Contribution

It introduces an open-closed homotopy algebra structure for superstring interactions and constructs a corresponding WZW-like action, advancing the mathematical foundation of superstring field theory.

Findings

Established a classical open superstring field theory on general backgrounds.

Connected homotopy algebra structures with WZW-like formulations.

Provided explicit constructions of open-closed superstring interactions.

Abstract

We construct open-closed superstring interactions based on the open-closed homotopy algebra structure. It provides a classical open superstring field theory on general closed-superstring-field backgrounds described by classical solutions of the nonlinear equation of motion of the closed superstring field theory. We also give the corresponding WZW-like action through the map connecting the homotopy-based and WZW-like formulations.