Relating Berkovits and $A_{\infty }$ Superstring Field Theories; Small Hilbert Space Perspective

Abstract

In a previous paper it was shown that the recently constructed action for open superstring field theory based on $A_{\infty }$ algebras can be re-written in Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits' open superstring field theory. In this paper we explain the relation between these two theories from a different perspective which emphasizes the small Hilbert space, and in particular the relation between the $A_{\infty }$ structures on both sides.

V2: 40 pages, minor improvements

References in corpus (3)

• NS-NS Sector of Closed Superstring Field Theory
• $A_{\infty }$ structure from the Berkovits formulation of open superstring field theory
• Closed String Cohomology in Open String Field Theory

Cited by in corpus (14)

• Closed Superstring Field Theory and its Applications
• BV Master Action for Heterotic and Type II String Field Theories
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Ramond Equations of Motion in Superstring Field Theory
• The S-Matrix of superstring field theory
• Open superstring field theory based on the supermoduli space
• Relating Berkovits and $A_{\infty }$ Superstring Field Theories; Large Hilbert Space Perspective
• Closed string deformations in open string field theory II: superstring
• Gauge-invariant operators of open bosonic string field theory in the low-energy limit
• On-shell equivalence of two formulations for superstring field theory
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Fermion scattering amplitudes from gauge-invariant actions for open superstring field theory
• Relation between the Reducibility Structures and between the Master Actions in the Witten Formulation and the Berkovits Formulation of Open Superstring Field Theory
• Open superstring field theory including the Ramond sector based on the supermoduli space