$A_{\infty }$ Action of Open $\mathcal{N}=2$ Superstring Field Theory

Abstract

We formulate a string field theory for open $\mathcal{N}=2$ strings with an $A_{\infty }$ algebra structure. Starting from the BRST cohomology relative to the U(1) anti-ghost zero-mode, we generalize [arXiv:1312.2948] and constructed all interacting vertices recursively and without singularity. We also show that our string field theory reproduces the correct perturbative S-matrix.

v3: 19 pages, version published on JHEP; v2: Typos fixed

References in corpus (20)

• Introduction to string field theory
• Tensor Constructions of Open String Theories I: Foundations
• Resolving Witten's Superstring Field Theory
• Double Copy from Homotopy Algebras
• A New Approach to Superstring Field Theory
• NS-NS Sector of Closed Superstring Field Theory
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Analytic Solution for Tachyon Condensation in Berkovits' Open Superstring Field Theory
• Exact Solutions of Berkovits' String Field Theory
• Type II Superstring Field Theory: Geometric Approach and Operadic Description
• Constrained BV Description of String Field Theory
• The S-Matrix of superstring field theory
• Open superstring field theory based on the supermoduli space
• N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills
• Vertical Integration from the Large Hilbert Space
• Comments on Solutions of Vacuum Superstring Field Theory
• Regularizing Cubic Open Neveu-Schwarz String Field Theory
• Chiral BRST Cohomology of N=2 Strings at Arbitrary Ghost and Picture Number
• Some Remarks About Berkovits' Superstring Field Theory
• Solitons in Open N=2 String Theory