A journey on self-$G$-ality
| Autor: | Ando, Takamasa |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 introduce the notion of $\textit{codimension-two transitions}$. We explore concrete lattice models for such self-$G$-alities and find how the self-$G$-ality structures match the IR critical theories. Comment: 14 pages |
| Databáze: | arXiv |
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