$A_{\infty }$ structure from the Berkovits formulation of open superstring field theory

Abstract

By formulating open superstring field theory based on the small Hilbert space of the superconformal ghost sector, an action for the Neveu-Schwarz sector with an $A_{\infty }$ structure has recently been constructed. We transform this action to the Wess-Zumino-Witten-like form and show that this theory is related to the Berkovits formulation of open superstring field theory based on the large Hilbert space by partial gauge fixing and field redefinition.

43 pages, 1 figure

References in corpus (15)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Introduction to sh Lie algebras for physicists
• Tensor Constructions of Open String Theories I: Foundations
• Marginal Solutions for the Superstring
• Real analytic solutions for marginal deformations in open superstring field theory
• NS-NS Sector of Closed Superstring Field Theory
• General marginal deformations in open superstring field theory
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• Solutions from boundary condition changing operators in open superstring field theory
• From the Berkovits formulation to the Witten formulation in open superstring field theory
• Type II Superstring Field Theory: Geometric Approach and Operadic Description
• Constrained BV Description of String Field Theory
• Validity of Gauge-Fixing Conditions and the Structure of Propagators in Open Superstring Field Theory
• Construction of a Gauge-Invariant Action for Type II Superstring Field Theory

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• String Field Theory -- A Modern Introduction
• String Field Theory Solution for Any Open String Background. II
• 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; Small Hilbert Space Perspective
• Open string stub as an auxiliary string field
• Construction of action for heterotic string field theory including the Ramond sector
• Relating Berkovits and $A_{\infty }$ Superstring Field Theories; Large Hilbert Space Perspective
• Closed string deformations in open string field theory II: superstring
• On-shell equivalence of two formulations for superstring field theory
• Type II superstring field theory with cyclic L-infinity structure
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Fermion scattering amplitudes from gauge-invariant actions for open superstring field theory
• Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices
• 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
• Type II superstring field theory revisited