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Punctures and p-spin curves from matrix models II

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arxiv 2010.01444 v1 pith:262BLEJ5 submitted 2020-10-03 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords matrixcurvesextensionmodelsp-spinpositivepuncturesboundary
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We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an extension to half-integer p, and in more details for p=1/2 and p=3/2. In those new cases one finds contributions from the Ramond sector, which were not present for positive integer p.The existence of Virasoro constraints, in particular a string equation, is considered also for half-integral spins. The contribution of the boundary of a Riemann surface, is investigated through a logarithmic matrix model The supersymmetric random matrices provide extensions to mixed positive and negative p punctures.

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Cited by 2 Pith papers

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    Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.

  2. The HOMFLY-PT polynomial and HZ factorisation

    math-ph 2024-12 conditional novelty 6.0 of 10

    The HOMFLY-PT and Kauffman polynomials satisfy a previously torus-only relation for several infinite hyperbolic knot families that have factorised Harer-Zagier transforms.

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