标题： 从阿贝尔陈-西蒙斯理论中的拓扑边界得到的费米子CFTs 显示英文标题

标题： Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

摘要： 如果其物理量独立于时空自旋结构，则称为玻色子（非自旋）量子场论；如果其依赖于时空自旋结构，则称为费米子（自旋）量子场论。我们研究从玻色子阿贝尔陈-西蒙斯理论中出现的费米子共形场论（CFTs），通过施加拓扑边界条件，这些理论起到对称拓扑场论的作用。我们的构造包括编码CFT的费米子推广。当陈-西蒙斯理论与单根李代数的根格子相关联时，这种方法会产生具有层次一仿射李代数对称性的费米子CFT。作为应用，我们考虑由Johnson-Freyd研究的一类超对称顶点算子代数对应的陈-西蒙斯理论，并对其产生超对称CFT的费米子拓扑边界条件进行分类。 显示英文摘要

摘要： A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that emerge from bosonic abelian Chern-Simons theories, playing the role of a symmetry topological field theory, by imposing topological boundary conditions. Our construction includes the fermionic generalization of code CFTs. When the Chern-Simons theory is associated with the root lattice of a simply laced Lie algebra, this approach yields a fermionic CFT with a level-one affine Lie algebra symmetry. As an application, we consider the Chern-Simons theories corresponding to a class of supersymmetric vertex operator algebras studied by Johnson-Freyd and classify their fermionic topological boundary conditions that give rise to supersymmetric CFTs.