Matrix factorizations and homological mirror symmetry on the torus

Abstract

We consider matrix factorizations and homological mirror symmetry on the torus T2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum taking into account the explicit dependence on bulk and boundary moduli. We verify homological mirror symmetry by comparing three-point functions in the A-model and the B-model. © SISSA 2007.