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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. 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Harrison","submitted_at":"2016-02-22T20:33:39Z","abstract_excerpt":"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. 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