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The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras

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dc.contributor.author Mason, Geoffrey
dc.contributor.author Tuite, Michael P.
dc.date.accessioned 2012-01-09T13:44:07Z
dc.date.available 2012-01-09T13:44:07Z
dc.date.issued 2007
dc.identifier.citation Geoffrey Mason and Michael P. Tuite(2007)The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras, Geoffrey Mason and Michael P. Tuite en_US
dc.identifier.uri http://hdl.handle.net/10379/2447
dc.description.abstract We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain closed formulas for the genus two partition function for the Heisenberg free bosonic string and lattice vertex operator algebras in both sewing schemes. We prove that the partition functions are holomorphic in the sewing parameters on given suitable domains and describe their modular properties. Finally, we show that the partition functions cannot be equal in the neighborhood of a two-tori degeneration point where they can be explicitly compared.
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 The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/0712.0628 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Geoffrey Mason and Michael P. Tuite
dc.local.arxivid 0712.0628

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