Supersymmetric Virasoro Minimal Strings

Abstract

A random matrix model definition of a family of ${\cal N}{=}1$ supersymmetric extensions of the Virasoro minimal string of Collier, Eberhardt, M\"{u}hlmann, and Rodriguez is presented. An analysis of the defining string equations shows that the models all naturally have unambiguous non-perturbative completions, which are explicitly supplied by the double-scaled orthogonal polynomial techniques employed. Perturbatively, the multi-loop correlation functions of the model define a special supersymmetric class of ``quantum volumes'', generalizing the prototype case, some of which are computed.