BSFT-like action from cohomomorphism

Abstract By performing a field redefinition via a cohomomorphism on the Maurer-Cartan action of the A∞ algebra, we construct an action that reproduces the characteristic structure of boundary string field theory (BSFT), which we refer to as the BSFT-like action. We show that the form and several properties of this BSFT-like action closely resemble those of BSFT. Our results suggest that this approach provides a systematic framework to derive the BSFT action from the OSFT based on A∞ algebras.