Extremal chiral $\mathcal{N}=4$ SCFT with $c=24$

Abstract

We construct an extremal chiral $\mathcal{N}=4$ superconformal field theory with central charge 24 from a ${\mathbb{Z}}_2$ orbifold of the chiral bosonic theory with target ${\mathbb{R}}^{24}/\Lambda$, where $\Lambda$ is the Niemeier lattice with root system $A_2^{12}$. This construction is analogous to constructions of extremal chiral $\mathcal{N}=1$ and $\mathcal{N}=2$ CFTs with $c=24$, where $\Lambda ={\Lambda }_{Leech}$ and the Niemeier lattice with root system $A_1^{24}$, respectively. The theory has a discrete symmetry group related to the sporadic group $M_{11}$.

18 pages + 12 pages of appendices

References in corpus (3)

• Notes on the K3 Surface and the Mathieu group M_24
• On Non-handlebody Instantons in 3D Gravity
• Mock Modular Mathieu Moonshine Modules

Cited by in corpus (2)

• 2D CFT Partition Functions at Late Times
• Constraints on Flavored 2d CFT Partition Functions