English

Complete Action for Open Superstring Field Theory with Cyclic $A_\infty$ Structure

High Energy Physics - Theory 2016-08-09 v3

Abstract

We construct a gauge invariant action for the Neveu-Schwarz and Ramond sectors of open superstring field theory realizing a cyclic AA_\infty structure, providing the first complete and fully explicit solution to the classical Batalin-Vilkovisky master equation in superstring field theory. We also demonstrate the equivalence of our action to the Wess-Zumino-Witten-based construction of Kunitomo and one of the authors.

Keywords

Cite

@article{arxiv.1602.02582,
  title  = {Complete Action for Open Superstring Field Theory with Cyclic $A_\infty$ Structure},
  author = {Theodore Erler and Yuji Okawa and Tomoyuki Takezaki},
  journal= {arXiv preprint arXiv:1602.02582},
  year   = {2016}
}

Comments

41 pages, added discussion of PCO in subsection 3.1

R2 v1 2026-06-22T12:45:27.923Z