Elliptic $q,t$ matrix models

Abstract

The Gaussian matrix model is known to deform to the $q,t$-matrix model. We consider further deformation to the elliptic $q,t$ matrix model by properly deforming the Gaussian density as well as the Vandermonde factor. Properties of an associated basis of symmetric functions that provide the matrix model property $<char>\sim \mathrm{char}$ in the deformed elliptic case are discussed.

7 pages

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Cited by in corpus (8)

• Bilinear character correlators in superintegrable theory
• Commutative families in DIM algebra, integrable many-body systems and $q,t$ matrix models
• Towards elliptic deformation of $q,t$-matrix models
• Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
• Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
• CMM formula as superintegrability property of unitary model
• Elliptic triad
• Schur expansion of random-matrix reproducing kernels