Abstract

We present exactly solvable modifications of the two-matrix Zinn-Justin–Zuber model and write it as a tau function. The grand partition function of these matrix integrals is written as the fermion expectation value. The perturbation theory series is written explicitly in terms of a series in strict partitions. The related string equations are presented.

中文翻译：

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一种新的可解二矩阵模型和 BKP tau 函数

摘要

我们提出了两个矩阵 Zinn-Justin-Zuber 模型的精确可解修改，并将其写为 tau 函数。这些矩阵积分的宏配分函数被写为费米子期望值。微扰理论级数被明确地写成严格分区的级数。给出了相关的弦方程。