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N=2 Moonshine

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arxiv 1209.0610 v1 pith:D3DEPXNO submitted 2012-09-04 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords representationsmassivemoonshinealgebraconsiderconstructdecomposeddimensions
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct a model of moonshine phenomenon based on the use of N=2 superconformal algebra. We consider an extremal Jacobi form of weight 0 and index 2, and expand it in terms of N=2 massless and massive representations. We find the multiplicities of massive representations are decomposed into a sum of dimensions of irreducible representations of the group L2(11).

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