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In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the… Click to show full abstract
In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the simplest representative of this family describes a generating function of the cubic Hodge integrals satisfying the Calabi–Yau condition, and claim that the whole family describes its generalization for the higher spin cases. To investigate this family we construct a new description of the Sato Grassmannian in terms of a canonical pair of the Kac–Schwarz operators.
Keywords:
matrix model;
generalized kontsevich;
family;
kontsevich matrix;
hodge integrals
Journal Title: Analysis and Mathematical Physics
Year Published: 2020
Link to full text (if available)
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Journal Title: Analysis and Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!