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Many-body integrable systems implied by WLZZ models

High Energy Physics - Theory 2023-05-25 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

Abstract

We provide some details about the recently discovered integrable systems implied by commutativity of WW operators along the rays on the plane of roots of ww_\infty-algebra. The simplest system of this type is the rational Calogero model, other systems escaped attention in the past. Existence of these systems is intimately tied to the very interesting WLZZ matrix models, which are now under intensive study.

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Cite

@article{arxiv.2303.05273,
  title  = {Many-body integrable systems implied by WLZZ models},
  author = {A. Mironov and A. Morozov},
  journal= {arXiv preprint arXiv:2303.05273},
  year   = {2023}
}

Comments

8 pages

R2 v1 2026-06-28T09:09:18.501Z