Equivalences Between GIT Quotients of Landau-Ginzburg B-Models
Equivalences Between GIT Quotients of Landau-Ginzburg B-Models
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DOI：
10.1007/s00220-011-1232-y
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发表时间：
2011-06-01
影响因子：
2.4
通讯作者：
Segal, Ed
中科院分区：
文献类型：
--
作者：
Segal, Ed
我们在一个（不一定是仿射的）Landau-Ginzburg B-模型中定义了B-膜的范畴，并引入了R-荷的概念。我们的定义是完全复形范畴的直接推广。然后，我们考虑由一维环面产生的作为向量空间的不同GIT等价物的Landau-Ginzburg B-模型对，并证明对于每个这样的对，两个类别的B-膜是准等价的。事实上，我们产生了一整套的准等价索引的整数，并表明，由此产生的自等价都是球面扭曲。
We define the category of B-branes in a (not necessarily affine) Landau-Ginzburg B-model, incorporating the notion of R-charge. Our definition is a direct generalization of the category of perfect complexes. We then consider pairs of Landau-Ginzburg B-models that arise as different GIT quotients of a vector space by a one-dimensional torus, and show that for each such pair the two categories of B-branes are quasi-equivalent. In fact we produce a whole set of quasi-equivalences indexed by the integers, and show that the resulting auto-equivalences are all spherical twists.