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Homotopy Relations for Topological VOA

By Anton M. Zeitlin

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.Comment: 15 pages, 1 figure, typos correcte

Topics: Mathematics - Quantum Algebra, High Energy Physics - Theory, Mathematical Physics
Year: 2012
DOI identifier: 10.1142/S0129167X11007550
OAI identifier: oai:arXiv.org:1104.5038
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