BCOV theory via Givental group action on cohomological field theories

By Sergey Shadrin. 2008

51 citations recorded by the source corpus.

In a previous paper, Losev, the author, 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e6e0b449a71ced4b58974a106aa1ad516326b8c7

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In Geometry and Topology

1. L. Spitz
2. Sergey Shadrin
3. N. Orantin
4. Petr Dunin-Barkowski
5. B. Eynard
6. Marcos Mariño
7. D. Stanford
8. Sara Pasquetti

In Mathematical Physics

1. L. Spitz
2. N. Orantin
3. Sergey Shadrin
4. Petr Dunin-Barkowski
5. B. Eynard
6. Marcos Mariño
7. Tudor Dimofte

Citations in the corpus

• Relations in the tautological ring of the moduli space of curves (2013, unknown): “Its lifting to CohFTs was independently discovered by several authors: the papers by Teleman [36] and Shadrin [34] give an abbreviated treatment of the subject and refer to unpublished notes by Kazarian and by Katzarkov, Kontsevich, and Pantev.”
• Identification of the Givental Formula with the Spectral Curve Topological Recursion Procedure (2012, background): “The paper assumes some pre-knowledge of both Givental and topological recursion theory; we refer to [15,25,30] as possible sources.”