Author:
Wang Rui,Liu Fan,Zhang Chun-Hong,Zhao Wei-Zhong
Abstract
AbstractWe construct the ($$\beta $$
β
-deformed) partition function hierarchies with W-representations. Based on the W-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions and Jack polynomials, respectively. Some well known superintegrable matrix models such as the Gaussian hermitian one-matrix model (in the external field), $$N\times N$$
N
×
N
complex matrix model, $$\beta $$
β
-deformed Gaussian hermitian and rectangular complex matrix models are contained in the constructed hierarchies.
Funder
Fundamental Research Funds for the Central Universities, China
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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