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arXiv · 1702.08631

Topological recursion with hard edges

Leonid Chekhov·Paul Norbury
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Abstract

We prove a Givental type decomposition for partition functions that arise out of topological recursion applied to spectral curves. Copies of the Konstevich-Witten KdV tau function arise out of regular spectral curves and copies of the Brezin-Gross-Witten KdV tau function arise out of irregular spectral curves. We present the example of this decomposition for the matrix model with two hard edges and spectral curve $(x^2-4)y^2=1$

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Leonid Chekhov, Paul Norbury. 2017-02-28. Topological recursion with hard edges. https://arxiv.org/abs/1702.08631

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