Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions

TL;DR

This paper formulates superstring field theory actions algebraically using twisted L-infinity algebras, demonstrating how effective actions can be derived through homotopy transfer, revealing deep algebraic structures in string theory.

Contribution

It provides an algebraic framework for superstring field theory actions and shows how effective actions are obtained via homotopy transfer within twisted L-infinity algebra structures.

Findings

Superstring field actions can be expressed as twisted L-infinity algebras.

Homotopy transfer yields Wilsonian effective superstring actions.

Effective actions retain algebraic structures of twisted L-infinity algebras.

Abstract

A consistent action for heterotic and type II superstring field theory was recently proposed by Sen. We give an algebraic formulation of this action in terms of certain twisted $L_\infty$-algebra. We further show that Sen's Wilsonian effective superstring field action can be obtained using homotopy transfer and the effective theory also possesses the algebraic structure of a twisted $L_\infty$-algebra.