A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
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Published:2024-06-11
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ISSN:1815-0659
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Container-title:Symmetry, Integrability and Geometry: Methods and Applications
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Short-container-title:SIGMA
Author:
,Borot Gaëtan, , ,Wulkenhaar Raimar,
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-Plücker 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.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)