English

Homotopy Relations for Topological VOA

Quantum Algebra 2012-03-07 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We consider a parameter-dependent version of the homotopy associative part of the Lian-Zuckerman homotopy algebra and provide the interpretation of multilinear operations of this algebra in terms of integrals over certain polytopes. We explicitly prove the pentagon relation up to homotopy and propose a construction of higher operations.

Cite

@article{arxiv.1104.5038,
  title  = {Homotopy Relations for Topological VOA},
  author = {Anton M. Zeitlin},
  journal= {arXiv preprint arXiv:1104.5038},
  year   = {2012}
}

Comments

15 pages, 1 figure, typos corrected

R2 v1 2026-06-21T17:59:04.454Z