Superintegrability for ( $$\beta $$ β -deformed) partition function hierarchies with W-representations

Autor: Rui Wang, Fan Liu, Chun-Hong Zhang, Wei-Zhong Zhao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 82, Iss 10, Pp 1-6 (2022)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-022-10875-z
Popis: Abstract We 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.
Databáze: Directory of Open Access Journals
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