Adding stubs to quantum string field theories

TL;DR

This paper develops a universal algebraic method for adding stubs to various string field theories that satisfy the BV quantum master equation, enhancing the understanding of their algebraic structure and quantum properties.

Contribution

It introduces a general algebraic procedure for adding stubs to string field theories, applicable to classical and quantum cases, and clarifies the integration-out process at the quantum level.

Findings

Unified algebraic framework for adding stubs

Application to closed and open-closed string theories

Insights into quantum integration-out process

Abstract

Generalizing recent work by Schnabl-Stettinger and Erbin-Firat, we outline a universal algebraic procedure for `adding stubs' to string field theories obeying the BV quantum master equation. We apply our results to classical and quantum closed string field theory as well as to open-closed string field theory. We also clarify several aspects of the integration-out process in the co-algebraic formulation of string field theory at the quantum level.