A matrix model for the topological string II: The spectral curve and mirror geometry

Details A matrix model for the topological string II: The spectral curve and mirror geometry A matrix model for the topological string II: The spectral curve and mirror geometry

2010-07-13

arxiv.org/abs/1007.2194v1

Physics

High Energy Physics

High Energy Physics - Theory

1+37 pages

Scientific paper

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 study the spectral curve of our matrix model and thus derive, upon imposing certain minimality assumptions on the spectral curve, the large volume limit of the BKMP "remodeling the B-model" conjecture, the claim that Gromov-Witten invariants of any toric Calabi-Yau 3-fold coincide with the spectral invariants of its mirror curve.

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