ar X iv : m at h / 06 09 44 9 v 1 [ m at h . R T ] 1 5 Se p 20 06 Moonshine for Rudvalis ’ s sporadic group I ∗
نویسنده
چکیده
We introduce the notion of vertex operator superalgebra with enhanced conformal structure, which is a refinement of the notion of vertex operator superalgebra. We exhibit several examples, including a particular one which is self-dual, and whose full symmetry group is a direct product of a cyclic group of order seven with the sporadic simple group of Rudvalis. We thus obtain an analogue of Monstrous Moonshine for a sporadic group not involved in the Monster. Two variable analogues of the usual McKay–Thompson series are naturally associated to the action of the Rudvalis group on this object, and we provide explicit expressions for all the series arising.
منابع مشابه
ar X iv : m at h / 06 11 35 5 v 1 [ m at h . R T ] 1 3 N ov 2 00 6 Moonshine for Rudvalis ’ s sporadic group II ∗
In Part I we introduced the notion of enhanced vertex operator superalgebra, and constructed an example which is self-dual, has rank 28, and whose full symmetry group is a seven-fold cover of the sporadic simple group of Rudvalis. In this article we construct a second enhanced vertex operator superalgebra whose full automorphism group is a cyclic cover of the Rudvalis group. This new example is...
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