论文标题

Harer-Zagier公式的量化

Quantization of Harer-Zagier formulas

论文作者

Morozov, Alexei, Popolitov, Aleksandr, Shakirov, Shamil

论文摘要

我们在Q形式的Hermitian高斯矩阵模型中得出了Harer-Zagier公式的单迹和双跟踪相关器的类似物。这充分描述了单个跟踪相关器,并为重要的矩阵模型属性(例如属扩展和wick定理)开辟了通往$ q $的道路。

We derive the analogues of the Harer-Zagier formulas for single- and double-trace correlators in the q-deformed Hermitian Gaussian matrix model. This fully describes single-trace correlators and opens a road to $q$-deformations of important matrix models properties, such as genus expansion and Wick theorem.

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