Monster symmetry and extremal CFTs. (English) Zbl 1397.81306
Summary: We test some recent conjectures about extremal selfdual CFTs, which are the candidate holographic duals of pure gravity in \(\mathrm{AdS}_3\). We prove that no \(c=4\)8 extremal selfdual CFT or SCFT may possess Monster symmetry. Furthermore, we disprove a recent argument against the existence of extremal selfdual CFTs of large central charge.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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