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Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models

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arxiv 1611.03142 v1 pith:TBLOLVVO submitted 2016-11-10 hep-th math-phmath.COmath.MP

Clay Cordova , Ben Heidenreich , Alexandr Popolitov , Shamil Shakirov This is my paper · ORCID
classification hep-thmath-phmath.COmath.MP
keywords matrixmodelsexactfunctionsmodelpotentialresultsschur
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We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of Schur functions. The results are fully factorized into a product of terms linear in the rank of the matrix and the parameters of the model. We extend our formulas to include both logarthmic and finite-difference deformations, thereby generalizing the celebrated Selberg and Kadell integrals. We conjecture a formula for correlators of two Schur functions in these models, and explain how our results follow from a general orbifold-like procedure that can be applied to any one-matrix model with a single-trace potential.

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  1. Phases in WLZZ Matrix Models

    hep-th 2025-07 conditional novelty 6.0 of 10

    For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.

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