Speaker
Kantaro Ohmori
(University of Tokyo)
Description
In this talk we explore the symmetry in 1+1d fermionic systems from a category theory perspective. We argue that It requires additional structure than a tensor category over sVect, and rather captured by a fusion category equipped with a braided central functor from a specific braided fusion category, dependent on the chiral central charge. The same data defines a 1-morphism in the 4-category of braided tensor categories, which lead us to a 4d-3d-2d picture via cobordism hypothesis.
This talk is based on an ongoing work with K. Inamura.
External references
- 24030089
- 439903cf-e477-4493-82cb-fbdd89caf00c
