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矩阵积分作为 Schur 函数展开的 Borel 和

Matrix integrals as Borel sums of Schur function expansions

J. Harnad, A. Yu. Orlov

备注：
PlainTex file. 8 pgs. Based on talk by J. Harnad at the workshop: Symmetry and Perturbation Theory 2002, Cala Gonoone (Sardinia), May 1-26, 2002. To appear in proceedings. (World Scientific, Singapore, eds. S. Abenda, G. Gaeta). Typographical correction made to formula (2.7) to include previously omitted powers of r and x
发表信息：
Symmetries and Perturbation theory SPT2002, pp. 116-123, eds. S. Abenda, G. Gaeta, and S. Walcher (World Scientific, Singapore, 2003)
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AI总结：

本文证明酉二矩阵模型的配分函数不仅可视为双重 KP tau 函数和二维 Toda 层级的解，还可作为关联 KP 流变量下 Schur 函数乘积发散和的 Borel 求和正则化。

摘要：

已知酉二矩阵模型的配分函数是双重 KP tau 函数，并为二维 Toda 层级提供解。本文证明它亦可被视为在两组关联 KP 流变量中，对 Schur 函数乘积的发散求和进行 Borel 求和正则化。

英文摘要：

The partition function for unitary two matrix models is known to be a double KP tau-function, as well as providing solutions to the two dimensional Toda hierarchy. It is shown how it may also be viewed as a Borel sum regularization of divergent sums over products of Schur functions in the two sequences of associated KP flow variables.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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