Contributor info: Dr Aditya Bawane

Aditya Bawane, Pedram Karimi, Piotr Sułkowski

SciPost Phys. 13, 069 (2022) · published 27 September 2022 | Toggle abstract · pdf

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.