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Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I

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dc.contributor.author Mason, Geoffrey
dc.contributor.author Tuite, Michael P.
dc.date.accessioned 2012-01-09T13:44:06Z
dc.date.available 2012-01-09T13:44:06Z
dc.date.issued 2009
dc.identifier.citation Geoffrey Mason and Michael P. Tuite(2009)Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I, Commun. Math. Phys. 300, 673-713 (2010) en_US
dc.identifier.uri http://hdl.handle.net/10379/2443
dc.description.abstract We define the partition and $n$-point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the Heisenberg free bosonic string and for any pair of simple Heisenberg modules. We prove that the partition function is holomorphic in the sewing parameters on a given suitable domain and describe its modular properties for the Heisenberg and lattice vertex operator algebras and a continuous orbifolding of the rank two fermion vertex operator super algebra. We compute the genus two Heisenberg vector $n$-point function and show that the Virasoro vector one point function satisfies a genus two Ward identity for these theories.
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.title Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/0912.0117 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Geoffrey Mason and Michael P. Tuite
dc.local.arxivid 0912.0117

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