论文标题
Landau-Ginzburg模型中界面的融合：一种功能方法
Fusion of interfaces in Landau-Ginzburg models: a functorial approach
论文作者
论文摘要
我们研究了二维超对称Landau-Ginzburg模型中B型界面的融合。特别是，我们建议用融合函子来描述界面的融合，该函数作用于手性超级场面的基础多项式环的类别。函数对矩阵分解类别的函数的提升简化了接口融合的实际计算。除了对最小模型的简要讨论外，我们还说明了SU（3）/U（2）Kazama-Suzuki模型中这种方法的力量，在该模型中，我们找到了一组基本拓扑缺陷的融合函数，所有理性的B型拓扑缺陷都可以产生。
We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor that acts on the category of modules of the underlying polynomial rings of chiral superfields. This uplift of a functor on the category of matrix factorisations simplifies the actual computation of interface fusion. Besides a brief discussion of minimal models, we illustrate the power of this approach in the SU(3)/U(2) Kazama-Suzuki model where we find fusion functors for a set of elementary topological defects from which all rational B-type topological defects can be generated.
