Self- G -ality in 1 + 1 dimensions
Abstract
We explore topological manipulations in one spatial dimension, which are defined for a system with a global symmetry and map the system to another one with a dual symmetry. In particular, we discuss fusion category symmetries enhanced by the invariance of the actions of topological manipulations, i.e., self-$G$-alities for topological manipulations. Based on the self-$G$-ality conditions, we provide LSM-type constraints on the ground states of many-body Hamiltonians. We clarify the relationship between different enhanced symmetries and how they are further enhanced when they meet. We explore concrete lattice models for such self-$G$-alities and identify how the self-$G$-ality structures match the IR critical theories.
Fields of Study & Subjects
Quantum many-body systems
Topological Materials and Phenomena
Quasicrystal Structures and Properties
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 15
- Publication date
- 1 April 2026
- Language
- EN