Homotopy Relations for Topological VOA

Details Homotopy Relations for Topological VOA Homotopy Relations for Topological VOA

2011-04-26

arxiv.org/abs/1104.5038v3

Int. J. Math. 23 (2012) 1250012

Mathematics

Quantum Algebra

15 pages, 1 figure, typos corrected

Scientific paper

10.1142/S0129167X11007550

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.

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