https://doi.org/10.1140/epjc/s10052-025-15154-1
Regular Article - Theoretical Physics
Towards mixed phase correlators in monomial matrix models
1
MIPT, 141701, Dolgoprudny, Russia
2
NRC Kurchatov Institute, 123182, Moscow, Russia
3
Institute for Information Transmission Problems, 127994, Moscow, Russia
a
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Received:
29
September
2025
Accepted:
2
December
2025
Published online:
21
December
2025
Correlators in monomial Hermitian matrix model strongly depend on the choice of eigenvalue integration contours. We express Schur correlator in case of several different integration contours (mixed phase case) as a sum over products of Schur correlators for just one type of contour (pure phase), where expansion coefficients are manifestly made from Littlewood–Richardson and Mugnaghan–Nakayama coefficients. Further, for pure phase Schur correlators we find concise superintegrability formulas that unify both usual and exotic cases, that before looked very different from one another.
© The Author(s) 2025
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