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  Hodge-GUE correspondence and the discrete KdV equation

Dubrovin, B., Liu, S.-Q., Yang, D., & Zhang, Y. (2020). Hodge-GUE correspondence and the discrete KdV equation. Communications in Mathematical Physics, 379(2), 461-490. doi:10.1007/s00220-020-03846-6.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0007-16EE-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-403E-C
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 Creators:
Dubrovin, Boris, Author
Liu, Si-Qi, Author
Yang, Di1, Author           
Zhang, Youjin, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematical Physics, Mathematics, Algebraic Geometry
 Abstract: We prove the conjectural relationship recently proposed in [9] between certain special cubic Hodge integrals of the Gopakumar--Mari\~no--Vafa type [17, 28] and GUE correlators, and the conjecture proposed in [7] that the partition function of these Hodge integrals is a tau function of the discrete KdV hierarchy.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1612.02333
DOI: 10.1007/s00220-020-03846-6
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Title: Communications in Mathematical Physics
  Abbreviation : Comm. Math. Phys.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 379 (2) Sequence Number: - Start / End Page: 461 - 490 Identifier: -