The Pfaffian-Grassmannian equivalence revisited
The Pfaffian-Grassmannian equivalence revisited
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DOI：
10.14231/ag-2015-015
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发表时间：
2014-01
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影响因子：
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通讯作者：
N. Addington;W. Donovan;E. Segal
中科院分区：
文献类型：
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作者：
N. Addington;W. Donovan;E. Segal
我们对某些非双有理卡拉比 - 丘三流形对之间的“普凡菲安 - 格拉斯曼”导出等价给出了一个新的证明。我们的证明遵循霍里（Hori）和唐（Tong）的物理构造，并且通过一些（全局）矩阵分解的中间范畴将等价关系分解为三个步骤。第一步是全局克诺勒（Knorrer）周期性，第二步来自朗道 - 金兹堡B模型之间的双有理映射，对于第三步我们开发了一些新技术。
We give a new proof of the 'Pfaffian-Grassmannian' derived equiv- alence between certain pairs of non-birational Calabi-Yau threefolds. Our proof follows the physical constructions of Hori and Tong, and we factor the equivalence into three steps by passing through some intermediate categories of (global) matrix factorizations. The first step is global Knorrer periodicity, the second comes from a birational map between Landau-Ginzburg B-models, and for the third we develop some new techniques.