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arxiv: 1809.07951 · v1 · pith:YKHZHHMDnew · submitted 2018-09-21 · 🧮 math-ph · math.MP

Hermitian One-Matrix Model and KP Hierarchy

classification 🧮 math-ph math.MP
keywords hermitianone-matrixcomputefunctionshierarchymodeltau-functionscorrespond
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The partition functions of Hermitian one-matrix models are known to be tau-functions of the KP hierarchy. In this paper we explicitly compute the elements in Sato grassmannian these tau-functions correspond to, and use them to compute the $n$-point functions of Hermitian one-matrix model.

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