The modular curve as the space of stability conditions of a CY3 algebra
  We prove that a connected component of the space of stability conditions of a CY3 triangulated category generated by an A_2 collection of 3-spherical objects is isomorphic to the universal cover of the C^*-bundle of non-zero holomorphic differentials on the moduli space of elliptic curves. 
Tom Sutherland
math.AG