06 9 v 1 1 6 N ov 1 99 2 DIAS - STP - 92 - 29 MONSTROUS MOONSHINE AND THE UNIQUENESS OF THE MOONSHINE MODULE
نویسنده
چکیده
In this talk we consider the relationship between the conjectured uniqueness of the Moonshine module V of Frenkel, Lepowsky and Meurman and Monstrous Moonshine, the genus zero property for Thompson series discovered by Conway and Norton. We discuss some evidence to support the uniqueness of V by considering possible alternative orbifold constructions of V from a Leech lattice compactified string. Within these constructions we find a new relationship between the centralisers of the Monster group and the Conway group generalising an observation made by Conway and Norton. We also relate the uniqueness of V to Monstrous Moonshine and argue that given this uniqueness, then the genus zero properties hold if and only if orbifolding V with respect to a monster element reproduces V or the Leech theory. * Talk presented at the Nato Advanced Research Workshop on ‘Low dimensional topology and quantum field theory’, Cambridge, 6-13 Sept 1992. † EMAIL: [email protected]
منابع مشابه
On the Relationship between Monstrous Moonshine and the Uniqueness of the Moonshine Module
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