Solving Virasoro constraints in matrix models

This is a brief review of recent progress in constructing solutions to the matrix model Virasoro equations. These equations are parameterized by a degreenpolynomialWn(x), and the general solution is labeled by an arbitrary function ofn− 1 coefficients of the polynomial. We also discuss in this general framework a special class of (multi‐cut) solutions recently studied in the context of 𝒩 = 1 supersymmetric gauge theories.