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Matrix model for the total descendant potential of a simple singularity of type D

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Abstract

We construct a Hermitian matrix model for the total descendant potential of a simple singularity of type D similar to the Kontsevich matrix model for the generating function of intersection numbers on the Deligne–Mumford moduli spaces \(\overline{{\mathcal {M}}}_{g,n}\).

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Acknowledgements

The work of A.A. is partially supported by IBS-R003-D1 and by RFBR Grant 18-01-00926. The work of T.M. is partially supported by JSPS Grant-In-Aid (Kiban C) 17K05193 and by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. T.M. would like to thank Emil Horozov and Mikhail Kapranov for useful conversations on matrix models and multivariable asymptotics. A.A. and T.M. would like to thank anonymous referees for the suggested improvements.

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Authors and Affiliations

  1. Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, 37673, Korea

    Alexander Alexandrov

  2. Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, 277-8583, Chiba, Japan

    Todor Milanov

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  1. Alexander Alexandrov
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  2. Todor Milanov
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Correspondence to Todor Milanov.

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To the memory of Boris Dubrovin, whose work will continue to inspire.

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Alexandrov, A., Milanov, T. Matrix model for the total descendant potential of a simple singularity of type D. Lett Math Phys 111, 88 (2021). https://doi.org/10.1007/s11005-021-01431-z

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  • DOI: https://doi.org/10.1007/s11005-021-01431-z

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