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2023

A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential

Borot, Gaëtan, Wulkenhaar, Raimar

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We exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential.

The result can be equivalently formulated in terms of Cartan-Pl\"ucker relations of certain averages of Schur $Q$-function.
The extension of a Pfaffian integration identity of de Bruijn to singular kernels is instrumental in the derivation of the result.

A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential · Around

Built on

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2011

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2023

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