Non-invertible higher-categorical symmetries
University of Oxford · KTH Royal Institute of Technology
Abstract
We sketch a procedure to capture general non-invertible symmetries of a d d -dimensional quantum field theory in the data of a higher-category, which captures the local properties of topological defects associated to the symmetries. We also discuss fusions of topological defects, which involve condensations/gaugings of higher-categorical symmetries localized on the worldvolumes of topological defects. Recently some fusions of topological defects were discussed in the literature where the dimension of topological defects seems to jump under fusion. This is not possible in the standard description of higher-categories. We explain that the dimension-changing fusions are understood as higher-morphisms of the…
Citation impact
- FWCI
- 111.09
- Percentile
- 100%
- References
- 79
Authors
4Topics & keywords
- Categorical variable
- Invertible matrix
- Homogeneous space
- Mathematics
- Pure mathematics
- Statistics
- Geometry