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$A_\infty$-Algebra from Supermanifolds

High Energy Physics - Theory 2020-01-08 v1 Mathematical Physics math.MP Quantum Algebra Rings and Algebras

Abstract

Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative products of forms which yield an AA_\infty-algebra.

Keywords

Cite

@article{arxiv.1901.00818,
  title  = {$A_\infty$-Algebra from Supermanifolds},
  author = {Roberto Catenacci and Pietro Antonio Grassi and Simone Noja},
  journal= {arXiv preprint arXiv:1901.00818},
  year   = {2020}
}

Comments

29 pages, no figures

R2 v1 2026-06-23T07:02:28.071Z