Further aspects of Supersymmetric Virasoro Minimal Strings

TL;DR

This paper advances the understanding of supersymmetric Virasoro minimal strings by developing the matrix model formalism, analyzing 0A and 0B models, and exploring their non-perturbative properties and potential dualities.

Contribution

It extends the matrix model approach to supersymmetric minimal strings, clarifies the relation between 0A and 0B models, and investigates their non-perturbative features and boundary theories.

Findings

Matrix model solutions for 0A and 0B models are explicitly constructed.

Loop observables vanish at all orders in both models.

Boundary amplitudes relate to characters of 2D superconformal field theories.

Abstract

A supersymmetric version of the Virasoro minimal string was defined some time ago using random matrix model techniques. Several of the special properties of the matrix model that were noted (accessible fully non-perturbatively) underlie features shared by both 0A and 0B versions of the theory. This paper develops the formalism much further, including showing how the 0A and 0B choices familiar in continuum approaches have a direct analogue in terms of building solutions of the appropriate string equations. This also illuminates several key differences between the 0A and 0B models at the level of matrix model loop observables. The natural all-orders vanishing of loops, already observed in some 0A models, translates into the same for 0B. It is also noted that the leading amplitude for a single asymptotic boundary, as well as the trumpet partition function, are characters of a 2D superconformal field theory living on the boundary of a solid torus, suggesting a 3D chiral supergravity dual. Non-perturbative results are computed as well.