BCOV theory via Givental group action on cohomological field theories

Details BCOV theory via Givental group action on cohomological field theories BCOV theory via Givental group action on cohomological field theories

2008-10-03

arxiv.org/abs/0810.0725v1

Mosc. Math. J. 9 (2009), no. 2, 411--429

Mathematics

Algebraic Geometry

22 pages

Scientific paper

In a previous paper (arXiv:0704.1001), Losev, me, and Shneiberg constructed a full descendant potential associated to an arbitrary cyclic Hodge dGBV algebra. This contruction extended the construction of Barannikov and Kontsevich of solution of the WDVV equation, based on the earlier paper of Bershadsky, Cecotti, Ooguri, and Vafa. In the present paper, we give an interpretation of this full descendant potential in terms of Givental group action on cohomological field theories. In particular, the fact that it satisfies all tautological equations becomes a trivial observation.

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