A Matrix Model for the Topological String II: The Spectral Curve and Mirror Geometry

Abstract

In a previous paper, we presented a matrix model reproducing the topological string partition function on an arbitrary given toric Calabi-Yau manifold. Here, we compute the spectral curve of our matrix model and thus provide a matrix model derivation of the large volume limit of the BKMP "remodeling the B-model" conjecture, the claim that Gromov-Witten invariants of any toric Calabi-Yau threefold coincide with the spectral invariants of its mirror curve. © 2012 Springer Basel AG.