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arXiv · 2206.14763

Proving superintegrability in $β$-deformed eigenvalue models

Aditya Bawane·Pedram Karimi·Piotr Sułkowski
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Abstract

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

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Aditya Bawane, Pedram Karimi, Piotr Sułkowski. 2022-06-29. Proving superintegrability in $β$-deformed eigenvalue models. https://doi.org/10.21468/scipostphys.13.3.069

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