paper

Matrix Factorizations and Homological Mirror Symmetry on the Torus

arXiv:hep-th/0701269 · doi:10.1088/1126-6708/2007/03/088

Abstract

We consider matrix factorizations and homological mirror symmetry on the torus T^2 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.

41 pages, 9 figures, v2: reference added, minor corrections and clarifications, version published in JHEP

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Matrix Factorizations and Homological Mirror Symmetry on the Torus · wovepaper