Quantization of Harer-Zagier formulas

Published 21 Aug 2020 in hep-th, math-ph, and math.MP | (2008.09577v2)

Abstract: 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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