Monster symmetry and Extremal CFTs

Understand

We test some recent conjectures about extremal selfdual CFTs, which are the candidate holographic duals of pure gravity in $AdS_3$.

• We prove that no $c=48$ 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.