标题： 边界 SymTFT 显示英文标题

标题： Boundary SymTFT

摘要： 我们研究了具有范畴（或非可逆）对称性的理论中边界条件（BCs）的性质。我们描述了如何通过对称性拓扑场论（SymTFT）中的拓扑边界条件来捕捉BCs的变换性质或（广义）荷。SymTFT是一类高一个时空维度的拓扑场论。作为SymTFT特征化的一个应用，我们讨论了（1+1）维有能隙和无能隙相的边界条件的对称性质。我们在时空维度为$d=2,3$的情况下提供了若干具体例子。此外，我们将（1+1）维范畴对称性任何子链的格点描述扩展到包括携带任意1-荷的边界条件的情况。 显示英文摘要

摘要： We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charges, of BCs are captured by topological BCs of Symmetry Topological Field Theory (SymTFT), which is a topological field theory in one higher spacetime dimension. As an application of the SymTFT chracterization, we discuss the symmetry properties of boundary conditions for (1+1)d gapped and gapless phases. We provide a number of concrete examples in spacetime dimensions $d=2,3$. We furthermore expand the lattice description for (1+1)d anyon chains with categorical symmetries to include boundary conditions carrying arbitrary 1-charges under the symmetry.