Monster symmetry and Extremal CFTs

Abstract

We test some recent conjectures about extremal selfdual CFTs, which are the candidate holographic duals of pure gravity in $Ad{S}_3$. 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.

10 pages

References in corpus (3)

• Three-Dimensional Gravity Revisited
• Constraints on extremal self-dual CFTs
• Partition Functions of Three-Dimensional Pure Gravity

Cited by in corpus (1)

• Note on New Massive Gravity in $Ad{S}_3$