A Super Version of Zhu's Theorem

dc.contributor.author	Jordan, Alex, 1979-
dc.date.accessioned	2009-01-13T00:17:10Z
dc.date.available	2009-01-13T00:17:10Z
dc.date.issued	2008-06
dc.description	vii, 41 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.	en
dc.description.abstract	We generalize a theorem of Zhu relating the trace of certain vertex algebra representations and modular invariants to the arena of vertex super algebras. The theorem explains why the space of simple characters for the Neveu-Schwarz minimal models NS( p, q ) is modular invariant. It also expresses negative products in terms of positive products, which are easier to compute. As a consequence of the main theorem, the subleading coefficient of the singular vectors of NS( p, q ) is determined for p and q odd. An interesting family of q -series identities is established. These consequences established here generalize results of Milas in this field.	en
dc.description.sponsorship	Adviser: Arkady Vaintrob	en
dc.identifier.uri	https://hdl.handle.net/1794/8283
dc.language.iso	en_US	en
dc.publisher	University of Oregon	en
dc.relation.ispartofseries	University of Oregon theses, Dept. of Mathematics, Ph. D., 2008;
dc.subject	Vertex algebras	en
dc.subject	Neveu-Schwarz model	en
dc.subject	Super algebras	en
dc.subject	Zhu's theorem	en
dc.subject	Mathematics	en
dc.title	A Super Version of Zhu's Theorem	en
dc.type	Thesis	en

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