In this note we provide proofs of various expressions for expectation values of symmetric polynomials in beta-deformed eigenvalue models with quadratic, linear, and logarithmic potentials. The relations we derive are also referred to as superintegrability. Our work completes proofs of superintegrability statements conjectured earlier in literature.

Proving superintegrability in β-deformed eigenvalue models / Bawane, Aditya; Karimi, Pedram; Sułkowski, Piotr. - In: SCIPOST PHYSICS. - ISSN 2542-4653. - 13:3(2022). [10.21468/scipostphys.13.3.069]

Proving superintegrability in β-deformed eigenvalue models

Bawane, Aditya;
2022-01-01

Abstract

In this note we provide proofs of various expressions for expectation values of symmetric polynomials in beta-deformed eigenvalue models with quadratic, linear, and logarithmic potentials. The relations we derive are also referred to as superintegrability. Our work completes proofs of superintegrability statements conjectured earlier in literature.
2022
13
3
069
10.21468/scipostphys.13.3.069
https://arxiv.org/abs/2206.14763
Bawane, Aditya; Karimi, Pedram; Sułkowski, Piotr
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142312
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