https://doi.org/10.1140/epjc/s10052-022-10875-z
Regular Article - Theoretical Physics
Superintegrability for (-deformed) partition function hierarchies with W-representations
1
Department of Mathematics, China University of Mining and Technology, 100083, Beijing, China
2
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
3
School of Mathematics and Statistics, North China University of Water Resources and Electric Power, 450046, Zhengzhou, Henan, China
Received:
21
July
2022
Accepted:
2
October
2022
Published online:
12
October
2022
We construct the (-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), complex matrix model, -deformed Gaussian hermitian and rectangular complex matrix models are contained in the constructed hierarchies.
© The Author(s) 2022
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