| Autor: |
Ryohei Kobayashi |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Physical Review Research, Vol 3, Iss 2, p 023107 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2643-1564 |
| DOI: |
10.1103/PhysRevResearch.3.023107 |
| Popis: |
In this short paper, we argue that the chiral central charge c_{−} of a (2+1)d topological ordered state is sometimes strongly constrained by 't Hooft anomaly of antiunitary global symmetry. For example, if a (2+1)d fermionic topological quantum field theory (TQFT) has a time-reversal anomaly with T^{2}=(−1)^{F} labeled as ν∈Z_{16}, the TQFT must have c_{−}=1/4 mod 1/2 for odd ν, while c_{−}=0 mod 1/2 for even ν. This generalizes the fact that the bosonic TQFT with T anomaly in a particular class must carry c_{−}=4 mod 8 to fermionic cases. We also study such a constraint for fermionic TQFT with U(1)×CT symmetry, which is regarded as a gapped surface of the topological superconductor in class AIII. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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