Proving superintegrability in $\beta$-deformed eigenvalue models

Bawane, Aditya; Karimi, Pedram; Sulkowski, Piotr

doi:10.21468/SciPostPhys.13.3.069

SciPost Physics

Proving superintegrability in $\beta$-deformed eigenvalue models

Aditya Bawane, Pedram Karimi, Piotr Sułkowski

SciPost Phys. 13, 069 (2022) · published 27 September 2022

doi: 10.21468/SciPostPhys.13.3.069
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.3.069
TI  - Proving superintegrability in $\beta$-deformed eigenvalue models
PY  - 2022/09/27
UR  - https://www.scipost.org/SciPostPhys.13.3.069
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 3
SP  - 069
A1  - Bawane, Aditya
AU  - Karimi, Pedram
AU  - Sulkowski, Piotr
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.13.3.069,
	title={{Proving superintegrability in $\beta$-deformed eigenvalue models}},
	author={Aditya Bawane and Pedram Karimi and Piotr Sułkowski},
	journal={SciPost Phys.},
	volume={13},
	pages={069},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.3.069},
	url={https://scipost.org/10.21468/SciPostPhys.13.3.069},
}

Cited by 6

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¹ Aditya Bawane,
¹ Pedram Karimi,
¹ Piotr Sulkowski

¹ Uniwersytet Warszawski / University of Warsaw [UW]

Funder for the research work leading to this publication

European Commission [EC]