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Proving superintegrability in $\beta$-deformed eigenvalue models

High Energy Physics - Theory 2022-09-28 v1 Mathematical Physics math.MP

Abstract

In this note we provide proofs of various expressions for expectation values of symmetric polynomials in β\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.

Keywords

Cite

@article{arxiv.2206.14763,
  title  = {Proving superintegrability in $\beta$-deformed eigenvalue models},
  author = {Aditya Bawane and Pedram Karimi and Piotr Sułkowski},
  journal= {arXiv preprint arXiv:2206.14763},
  year   = {2022}
}

Comments

13 pages

R2 v1 2026-06-24T12:08:36.527Z