Work

Superintegrability for two β-deformed integrals

Year: 2025

Type: article

Abstract: By means of the deformed trigonometric Calogero-Sutherland (CS) operator, we construct a family of commuting operators via nested commutators. In terms of these operators, we give a hierarchy of partition functions with W -representations and present their character expansions. Moreover, certain two β -deformed integrals are constructed, where the measures are associated with the corresponding ground state wave functions of Hermite and Laguerre type CS models. We analyze the superintegrability property and show that these two integrals belong to the partition function hierarchy.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2025.117235

Authors: Fu-Hao Zhang, Fan Liu, Chun-Hong Zhang, Rui Wang

Institutions: Capital Normal University, North China University of Water Resources and Electric Power, China University of Mining and Technology - Beijing

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, National University's Basic Research Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G2662059962, G3645087148, G6923233939