Timeline for Formula for the anomalies of spin Chern-Simons theories?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 29, 2021 at 15:05 | comment | added | Kevin Walker | But in the general case we do not expect that $\mu$ is a primitive 8th root of unity, right? | |
| Jun 29, 2021 at 7:04 | comment | added | Konrad Waldorf | Yes, my final remark was about the non-spin TQFT. I haven't seen a description of the anomaly for the spin TQFT. | |
| Jun 29, 2021 at 6:59 | comment | added | Konrad Waldorf | Right, as it is written in the paper this holds only for a torus. But for a compact simple Lie group the restriction $H^4(BG,\mathbb{Z}) \to H^4(BT,\mathbb{Z})$ is injective, which makes it likely that there is not much difference in this case. But I haven't thought more carefully about this. | |
| Jun 28, 2021 at 12:22 | comment | added | Kevin Walker | This is only for the case where $G$ is a torus, right? Also, if I'm understanding correctly, your final remark is about applying ordinary (non-spin) TQFTs to spin manifolds, but the question was about spin TQFTs (which are only defined on spin manifolds). | |
| Jun 28, 2021 at 10:02 | history | answered | Konrad Waldorf | CC BY-SA 4.0 |