An Extremal N=2 Superconformal Field Theory

TL;DR

This paper constructs an extremal N=2 superconformal field theory at central charge 24 using a Z2 orbifold of a lattice theory, with statespace related to the sporadic group M23.

Contribution

It provides a concrete example of an extremal N=2 superconformal field theory at c=24 based on lattice orbifolding and group representations.

Findings

Constructed an extremal N=2 SCFT at c=24

Linked the statespace to the sporadic group M23

Demonstrated the orbifold approach using Niemeier lattices

Abstract

We provide an example of an extremal chiral ${\cal N}=2$ superconformal field theory at $c=24$. The construction is based on a ${\mathbb Z}_2$ orbifold of the theory associated to the $A_{1}^{24}$ Niemeier lattice. The statespace is governed by representations of the sporadic group $M_{23}$.