A New Hat For The c=1 Matrix Model

TL;DR

This paper explores a matrix model description of two-dimensional supergravity coupled to rac{c}{1} matter, providing new insights into noncritical string theories and their stable vacua.

Contribution

It introduces a matrix model framework for rac{c}{1} supergravity theories, including a stable vacuum expansion and a quiver matrix model for 0A theory.

Findings

Matrix model for 0B theory with stable eigenvalue distribution

Extension of traditional descriptions of rac{c}{1} theories

Description of 0A theory via a quiver matrix model

Abstract

We consider two dimensional supergravity coupled to $\hat c=1$ matter. This system can also be interpreted as noncritical type 0 string theory in a two dimensional target space. After reviewing and extending the traditional descriptions of this class of theories, we provide a matrix model description. The 0B theory is similar to the realization of two dimensional bosonic string theory via matrix quantum mechanics in an inverted harmonic oscillator potential; the difference is that we expand around a non-perturbatively stable vacuum, where the matrix eigenvalues are equally distributed on both sides of the potential. The 0A theory is described by a quiver matrix model.