04.02.2010 (Thursday)

A matrix model for the topological string: Deriving the BKMP conjecture

Regular Seminar Amir-Kian Kashani-Poor (ENS, Paris)

14:00 QMW
room E303 Queens Building

In this talk, I will discuss work in progress with Bertrand Eynard, in which we derive the BKMP remodelling the B-model conjecture, in the large radius limit. This is the claim that Gromov-Witten invariants of any toric Calabi-Yau 3-fold coincide with the spectral invariants of the mirror curve. Our method consists in explicitly constructing a matrix model which reproduces the topological string partition function obtained via the vertex formalism, and then demonstrating that the spectral curve of this matrix model coincides with the mirror geometry.