Elliptic $q,t$ matrix models

A. Mironov; A. Morozov

Elliptic $q,t$ matrix models

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arxiv 2011.01762 v2 pith:OK7WEPMU submitted 2020-11-03 hep-th

A. Mironov , A. Morozov This is my paper · ORCID

classification hep-th

keywords matrixmodelellipticchargaussianassociatedbasiscase

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

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Elliptic triad
hep-th 2024-12 conditional novelty 4.0 of 10

The paper argues that the Macdonald triad admits elliptic deformations, but the defining linear equations for elliptic Baker-Akhiezer functions remain ambiguous except at m=1.

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