Virasoro constraint for Uglov matrix model

We study the root of unity limit of (q, t)-deformed Virasoro matrix models, for which we call the resulting model Uglov matrix model. We derive the associated Virasoro constraints on the partition function, and find agreement of the central charge with the expression obtained from the level-rank duality associated with the parafermion CFT.

Automated summary

This article studies the root of unity limit of (q, t)-deformed Virasoro matrix models and introduces the Uglov matrix model. The study shows that the associated Virasoro constraints are consistent with the expression obtained from the level-rank duality associated with the parafermion CFT.