Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models

Understand

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.