vix.ing · top · new · best · stats · spec

Matrix factorizations and homological mirror symmetry on the torus

2007/01/31 by Johanna Knapp, Harun Omer
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/03/088

published as JHEP 0703:088,2007 · 41 pages, 9 figures, v2: reference added, minor corrections and clarifications, version published in JHEP

arxiv created 2007/03/20 · openalex publication_date 2007/03/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations