Exact results for boundaries and domain walls in 2d supersymmetric theories
Exact results for boundaries and domain walls in 2d supersymmetric theories
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DOI：
10.1007/jhep09(2015)140
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发表时间：
2013-08
影响因子：
5.4
通讯作者：
D. Honda;T. Okuda
中科院分区：
文献类型：
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作者：
D. Honda;T. Okuda
我们将超对称局部化应用于半球上的规范线性sigma模型，其边界条件，即D-膜，保持B-型超对称性。我们解释了如何计算半球配分函数为每个对象的派生类的等变相干层，并认为它只取决于其K理论类。半球配分函数精确地计算了D-膜的中心电荷，完成了由反常流入论证得到的著名公式。我们还制定了超对称域壁的D-膜的产品中的两个理论。特别是4d线运营商绑定到一个表面运营商，对应于通过AGT的关系，在户田CFT的某些缺陷，被构造为域壁。此外，我们还展示了实现sl（2）仿射Hecke代数的域壁。
We apply supersymmetric localization togauged linear sigma models on a hemisphere, with boundary conditions, ie, D-branes, preserving B-type supersymmetries. We explain how to compute the hemisphere partition function for each object in the derived category of equivariant coherent sheaves, and argue that it depends only on its K theory class. The hemisphere partition function computes exactly the central charge of the D-brane, completing the well-known formula obtained by an anomaly inflow argument. We also formulate supersymmetric domain walls as D-branes in the product of two theories. In particular 4d line operators bound to a surface operator, corresponding via the AGT relation to certain defects in Toda CFT’s, are constructed as domain walls. Moreover we exhibit domain walls that realize the sl (2) affine Hecke algebra.