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arXiv · 1604.07628

Generating series for GUE correlators

Boris Dubrovin·Di Yang
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Abstract

We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.

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Boris Dubrovin, Di Yang. 2016-04-26. Generating series for GUE correlators. https://doi.org/10.1007/s11005-017-0975-6

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