Supersymmetric Virasoro Minimal Strings

Abstract

A random matrix model definition of a family of $\mathcal{N}=1$ supersymmetric extensions of the Virasoro minimal string of Collier, Eberhardt, Mühlmann, 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.

8 pages, 4 figures, 1 trumpet. v2: Refs added, discussion improved. Section added with computations of new quantum volumes. v3: bibtex error fixed. v4: Published version added