On bilinear superintegrability for monomial matrix models in pure phase

Abstract

We argue that the recently discovered bilinear superintegrability arXiv: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.

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Cited by in corpus (4)

• Two $\beta$-ensemble realization of $\beta$-deformed WLZZ models
• Summing up perturbation series around superintegrable point
• Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
• CMM formula as superintegrability property of unitary model