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.

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