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

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.

arXiv comment30 Pages, v2: expanded introduction, references added

References in corpus (31)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Oriented Open-Closed String Theory Revisited
• Tensor Constructions of Open String Theories I: Foundations
• Closed Superstring Field Theory and its Applications
• BV Master Action for Heterotic and Type II String Field Theories
• $L_{\infty }$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
• Noncommutative homotopy algebras associated with open strings
• Off-shell Amplitudes in Superstring Theory
• Double Copy from Homotopy Algebras
• Homotopy algebras inspired by classical open-closed string field theory
• Homotopy Algebra Morphism and Geometry of Classical String Field Theory
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Loop Homotopy Algebras in Closed String Field Theory
• Wilsonian Effective Action of Superstring Theory
• String Field Theory -- A Modern Introduction
• Four Lectures on Closed String Field Theory
• Scattering Amplitude Recursion Relations in BV Quantisable Theories
• Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector
• Complete action for open superstring field theory
• Yang-Mills Action from Open Superstring Field Theory
• Fixing an Ambiguity in Two Dimensional String Theory Using String Field Theory
• Classical algebraic structures in string theory effective actions
• Quantum $L_{\infty }$ Algebras and the Homological Perturbation Lemma
• Superstring Field Theory and the Wess-Zumino-Witten Action
• One Loop Tadpole in Heterotic String Field Theory
• Heterotic string field theory with cyclic L-infinity structure
• Open Superstring Field Theory on the Restricted Hilbert Space
• Closed string deformations in open string field theory II: superstring
• Homotopy algebra of open-closed strings
• Super Yang-Mills action from WZW-like open superstring field theory including the Ramond sector