A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
Mathematical Physics
2024-06-12 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
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 -function. The extension of a Pfaffian integration identity of de Bruijn to singular kernels is instrumental in the derivation of the result.
Keywords
Cite
@article{arxiv.2306.01501,
title = {A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential},
author = {Gaëtan Borot and Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:2306.01501},
year = {2024}
}