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Higher rank partial theta functions Creutzig, Thomas
Description
A partial theta function is a function associated to a positive cone of a positive definite rational lattice. Such objects appear in representation theory, knot theory and partitions. These functions are not modular but have modular-like transformation properties and these can be used to determine their asymptotic behavior. My motivation for studying them is that they appear as characters of certain logarithmic conformal field theories and that I expect that asymptotic dimensions coincide with Hopf links in the braided tensor category of the conformal field theory. I will illustrate this picture in the examples of Kostant false theta functions of ADE-type root lattices and corresponding W-algebras.
Item Metadata
Title |
Higher rank partial theta functions
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-09-26T10:29
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Description |
A partial theta function is a function associated to a positive cone of a positive definite rational lattice. Such objects appear in representation theory, knot theory and partitions.
These functions are not modular but have modular-like transformation properties and these can be used to determine their asymptotic behavior. My motivation for studying them is that they appear as characters of certain logarithmic conformal field theories and that I expect that asymptotic dimensions coincide with Hopf links in the braided tensor category of the conformal field theory. I will illustrate this picture in the examples of Kostant false theta functions of ADE-type root lattices and corresponding W-algebras.
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Extent |
60 minutes
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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 |
2017-03-28
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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 |
10.14288/1.0343363
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International