Show simple item record

dc.contributor.authorTuite, Michael P.
dc.contributor.authorGilroy, Thomas
dc.date.accessioned2019-04-08T10:16:33Z
dc.date.available2019-04-08T10:16:33Z
dc.date.issued2016-10-27
dc.identifier.citationGilroy, Thomas, & Tuite, Michael P. (2016). Genus two zhu theory for vertex operator algebras.
dc.identifier.urihttp://hdl.handle.net/10379/15103
dc.description.abstractWe consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus two n--point correlation function in terms of (n−1)--point functions. We consider several applications including the correlation functions for the Heisenberg vertex operator algebra and its modules, Virasoro correlation functions and genus two Ward identities. We derive novel differential equations in terms of a differential operator on the genus two Siegel upper half plane for holomorphic 1--differentials, the normalised bidifferential of the second kind, the projective connection and the Heisenberg partition function. We prove that the holomorphic mapping from the sewing parameter domain to the Siegel upper half plane is injective but not surjective. We also demonstrate that genus two differential equations arising from Virasoro singular vectors have holomorphic coefficients.en_IE
dc.subjectVertex algebrasen_IE
dc.subjectRiemann surfacesen_IE
dc.titleGenus two zhu theory for vertex operator algebrasen_IE
dc.typeArticleen_IE
dc.local.publishedsourcehttps://arxiv.org/abs/1511.07664en_IE
dc.description.peer-reviewednon-peer-revieweden_IE
dc.contributor.funderIRCen_IE
nui.item.downloads10


Files in this item

Attribution-NonCommercial-NoDerivs 3.0 Ireland
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. Please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.

The following license files are associated with this item:

Thumbnail

This item appears in the following Collection(s)

Show simple item record