https://doi.org/10.1140/epjc/s10052-023-12346-5
Regular Article - Theoretical Physics
On bilinear superintegrability for monomial matrix models in pure phase
1
Department of Applied Physics, Tunghai University, 40704, Taichung, Taiwan
2
Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia
3
NRC “Kurchatov Institute”, Moscow, Russia
4
Institute for Information Transmission Problems, 127994, Moscow, Russia
5
ITEP, Moscow, Russia
6
Lebedev Physics Institute, 119991, Moscow, Russia
7
Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
Received:
6
October
2023
Accepted:
9
December
2023
Published online:
18
December
2023
We argue that the recently discovered bilinear superintegrability http://arxiv.org/2206.02045 generalizes, in a non-trivial way, to monomial matrix models in pure phase. The structure is much richer: for the trivial core Schur functions required modifications are minor, and the only new ingredient is a certain (contour-dependent) permutation matrix; for non-trivial-core Schur functions, in both bi-linear and tri-linear averages the deformation is more complicated: averages acquire extra N-dependent factors and selection rule is less straightforward to imply.
© The Author(s) 2023
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