ARAN - Access to Research at NUI Galway

Exceptional Vertex Operator Algebras and the Virasoro Algebra

ARAN - Access to Research at NUI Galway

Show simple item record

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 2008
dc.identifier.citation Michael P. Tuite(2008)Exceptional Vertex Operator Algebras and the Virasoro Algebra, Contemp.Math.497:213-225, 2009 en_US
dc.identifier.uri http://hdl.handle.net/10379/2446
dc.description.abstract We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these theories that follow from an analysis of appropriate genus zero and genus one two point correlation functions. We find explicit differential equations for the partition function in the cases where the lowest weight primary vectors form a Lie algebra or a Griess algebra. Examples include the Wess-Zumino-Witten model for Deligne's exceptional Lie algebras and the Moonshine Module. We partially verify the irreducible decomposition of the tensor product of Deligne's exceptional Lie algebras and consider the possibility of similar decompositions for tensor products of the Griess algebra. We briefly discuss some conjectured extremal vertex operator algebras arising in Witten's recent work on three dimensional black holes.
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 - Representation Theory
dc.title Exceptional Vertex Operator Algebras and the Virasoro Algebra en_US
dc.type Article en_US
dc.local.publishedsource http://arxiv.org/pdf/0811.4523 en_US
dc.description.peer-reviewed peer-reviewed en_US
dc.local.authors Michael P. Tuite
dc.local.arxivid 0811.4523

Files in this item

Full Text

This item appears in the following Collection(s)

Show simple item record

Search ARAN


Advanced Search

Browse

My Account

Statistics