Elliptic $q,t$ matrix models

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 $<char>\sim {\rm char}$ in the deformed elliptic case are discussed.

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