论文标题
互补的投影缺陷和分解
Complementary Projection Defects and Decompositions
论文作者
论文摘要
正如[Arxiv：1907.12339]拓扑量子场理论中提到的那样，可以使用所谓的投影缺陷投影。预计的理论及其相关函数可以在未记录的理论中完全实现。一个有趣的例子是与重新归一化组流的IR固定点相关的拓扑量子场理论的情况，通过这种方法可以在与紫外线相关的理论中实现。在本说明中，我们表明，三角形缺陷类别中的投影缺陷（例如2D拓扑扭曲的n =（2,2）理论中的缺陷始终都带有互补的投影缺陷，而未转移的理论则将其分解为与两种投影缺陷相关的理论。我们在Landau-Ginzburg Orbifold理论的背景下证明了这一点。
As put forward in [arXiv:1907.12339] topological quantum field theories can be projected using so-called projection defects. The projected theory and its correlation functions can be completely realized within the unprojected one. An interesting example is the case of topological quantum field theories associated to IR fixed points of renormalization group flows, which by this method can be realized inside the theories associated to the UV. In this note we show that projection defects in triangulated defect categories (such as defects in 2d topologically twisted N=(2,2) theories) always come with complementary projection defects, and that the unprojected theory decomposes into the theories associated to the two projection defects. We demonstrate this in the context of Landau-Ginzburg orbifold theories.
