Linear relations supplementing BKP for the Kontsevich matrix model with even potential

Wulkenhaar, Raimar

Research article in digital collection | Preprint

Abstract

With G. Borot we have previously proved that moments of the Kontsevich matrix model with arbitrary potential satisfy quadratic BKP relations. In this note we show that, for even potential, these moments also satisfy simpler linear relations, which are organised by elementary Schur Q-functions.

Details about the publication

Name of the repositoryarXiv
Article number2508.04245
Statussubmitted / under review
Release year2025 (06/08/2025)
Language in which the publication is writtenEnglish
DOI10.48550/arXiv.2508.04245
Link to the full texthttps://doi.org/10.48550/arXiv.2508.04245
Keywordsmatrix models; integrable hierarchies; Pfaffians

Authors from the University of Münster

Wulkenhaar, Raimar
Professur für Reine Mathematik (Prof. Wulkenhaar)