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Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I

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dc.contributor.author Tuite, Michael P.
dc.contributor.author Zuevsky, Alexander
dc.date.accessioned 2011-12-22T13:51:40Z
dc.date.available 2011-12-22T13:51:40Z
dc.date.issued 2010
dc.identifier.citation Michael P. Tuite and Alexander Zuevsky(2010)Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I, Commun.Math.Phys.306:419-447,2011 en_US
dc.identifier.uri http://hdl.handle.net/10379/2430
dc.description.abstract We define the partition and $n$-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain a closed formula for the genus two continuous orbifold partition function in terms of an infinite dimensional determinant with entries arising from torus Szeg\"o kernels. We prove that the partition function is holomorphic in the sewing parameters on a given suitable domain and describe its modular properties. Using the bosonized formalism, a new genus two Jacobi product identity is described for the Riemann theta series. We compute and discuss the modular properties of the generating function for all $n$-point functions in terms of a genus two Szeg\"o kernel determinant. We also show that the Virasoro vector one point function satisfies a genus two Ward identity.
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 Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/1007.5203 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Michael P. Tuite and Alexander Zuevsky
dc.local.arxivid 1007.5203

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