| Autor: |
Ryohei Kobayashi |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Physical Review Research, Vol 4, Iss 3, p 033137 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2643-1564 |
| DOI: |
10.1103/PhysRevResearch.4.033137 |
| Popis: |
We investigate symmetry-preserving gapped boundary of (2+1)-dimensional [(2+1)D] topological phases with global symmetry, which can be either bosonic or fermionic. We develop a general algebraic description for gapped boundary condition for symmetry-enriched or fermionic topological phases, extending the framework of Lagrangian algebra anyon for bosonic phases without symmetry. We then focus on application to the case with U(1) symmetry. We derive new obstructions to symmetry-preserving gapped boundary for U(1)^{f}-symmetric (2+1)D fermionic topological phases, which are beyond chiral central charge c_{−} and electric Hall conductivity σ_{H}. These obstructions are given by a simple Gauss-Milgram-type formula valid for supermodular category and regarded as a higher version of c_{−} and σ_{H}. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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