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Examples of Matrix Factorizations from SYZ
oleh: Cheol-Hyun Cho, Hansol Hong, Sangwook Lee
Format: | Article |
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Diterbitkan: | National Academy of Science of Ukraine 2012-08-01 |
Deskripsi
We find matrix factorization corresponding to an anti-diagonal in CP^1×CP^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×CP^1, which was predicted by Kapustin and Li from B-model calculations.