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Genus Two Meromorphic Conformal Field Theory

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dc.contributor.author Tuite, Michael P.
dc.date.accessioned 2012-01-09T13:44:08Z
dc.date.available 2012-01-09T13:44:08Z
dc.date.issued 1999
dc.identifier.citation Michael P. Tuite(1999)Genus Two Meromorphic Conformal Field Theory, CRM Proceedings & Lecture Notes 30, 231-251 (2001). en_US
dc.identifier.uri http://hdl.handle.net/10379/2454
dc.description.abstract We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus two period matrix and pinching modular parameters. We obtain expressions for the partition function for the chiral bosonic string, even rank lattice theories and self-dual meromorphic conformal field theories including the Moonshine Module. In particular, we find that for self-dual theories with central charge 24, the genus two partition function multiplied by a universal holomorphic function of the moduli is given by a meromorphic Siegel modular form of weight 2 where this universal function includes ghost contributions. We also discuss a novel expansion for certain Siegel modular forms.
dc.format application/pdf en_US
dc.language.iso en en_US
dc.subject Mathematics - Quantum Algebra
dc.subject High Energy Physics - Theory
dc.subject Mathematics - Number Theory
dc.subject 81T40
dc.subject 17B69 (Primary) 11F11
dc.subject 11F46 (Secondary)
dc.title Genus Two Meromorphic Conformal Field Theory en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/math/9910136 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Michael P. Tuite
dc.local.arxivid math/9910136

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