  It was known that quantum curves and super Chern-Simons matrix models
correspond to each other. From the viewpoint of symmetry, the algebraic curve
of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional
algebra, while the super Chern-Simons matrix model is described by the free
energy of topological strings on the del Pezzo background with the symmetry
broken. We study the symmetry breaking of the quantum cousin of the algebraic
curve and reproduce the results in the super Chern-Simons matrix model.
