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Vector valued modular forms in Vertex Operator Algebras Auger, Jean
Description
Any vertex operator algebra that is \(C_2\)-cofinite and non-rational has both a finite number of simple modules and a non-semisimple representation theory. Such VOAs have some of the simpler non-obvious structures one can think of. However, only one such family of examples is known. With a mid term aim of exposing new examples, we come across modular objects by looking at certain characters. Consider an affine VOA at rational admissible negative level. Then some extension of a coset sub-VOA is believed to provide new families of examples. In the case of the affine \(sl_2\) simple VOA, we show that the linear span of the characters of the lifted simple coset-modules give rise to a vector valued modular form. This non-obvious result is to be expected if one has faith in the conjectured properties of the extended coset VOA in question.
Item Metadata
Title |
Vector valued modular forms in Vertex Operator Algebras
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-04-17T09:50
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Description |
Any vertex operator algebra that is \(C_2\)-cofinite and non-rational has both a finite number of simple modules and a non-semisimple representation theory.
Such VOAs have some of the simpler non-obvious structures one can think of.
However, only one such family of examples is known.
With a mid term aim of exposing new examples, we come across modular objects by looking at certain characters.
Consider an affine VOA at rational admissible negative level.
Then some extension of a coset sub-VOA is believed to provide new families of examples.
In the case of the affine \(sl_2\) simple VOA, we show that the linear span of the characters of the lifted simple coset-modules give rise to a vector valued modular form.
This non-obvious result is to be expected if one has faith in the conjectured properties of the extended coset VOA in question.
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Extent |
18 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Alberta
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Series | |
Date Available |
2016-10-17
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0319157
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International