%0 Journal Article
%T Examples of Matrix Factorizations from SYZ
%A Cheol-Hyun Cho
%A Hansol Hong
%A Sangwook Lee
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X We find matrix factorization corresponding to an anti-diagonal in CP^1¡ÁCP^1, and circle fibers in weighted projective lines using the idea of Chan and Leung of Strominger-Yau-Zaslow transformations. For the tear drop orbifolds, we apply this idea to find matrix factorizations for two types of potential, the usual Hori-Vafa potential or the bulk deformed (orbi)-potential. We also show that the direct sum of anti-diagonal with its shift, is equivalent to the direct sum of central torus fibers with holonomy (1, 1) and ( 1,1) in the Fukaya category of CP^1¡ÁCP^1, which was predicted by Kapustin and Li from B-model calculations.
%K matrix factorization
%K Fukaya category
%K mirror symmetry
%K Lagrangian Floer theory
%U http://dx.doi.org/10.3842/SIGMA.2012.053