New critical behavior in a supersymmetric double-well matrix model

Understand

We compute various correlation functions at the planar level in a simple supersymmetric matrix model, whose scalar potential is in shape of a double-well.

• The model has infinitely degenerate vacua parametrized by filling fractions \nu_\pm representing the numbers of matrix eigenvalues around the two minima of the double-well.
• The computation is done for general filling fractions corresponding to general two-cut solutions for the eigenvalue distribution.
• The model is mapped to the O(n) model on a random surface with n=-2, and some sector of the model is described by two-dimensional quantum gravity with c=-2 matter or (2,1) minimal string theory.