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

被引：1

作者：

Borot, Gaetan ^{[1
,2
]}

Wulkenhaar, Raimar ^{[3
]}

机构：

[1] Humboldt Univ, Inst Math, Unter Linden 6, D-10099 Berlin, Germany

[2] Inst Phys, Humboldt Univ Berlin, Unter Linden 6, D-10099 Berlin, Germany

[3] Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster, Germany

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2024年 / 20卷

关键词：

BKP hierarchy; matrix models; classical integrability; TOPOLOGICAL RECURSION; EQUATIONS;

D O I：

10.3842/SIGMA.2024.050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-Plu<spacing diaeresis>cker 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.

引用

页码：1 / 16

页数：16

共 21 条

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