IAS CMP/QFT Group Meeting
What comes after A-D-E?
Abstract: In 1987, Cappelli-Itzykson-Zuber classified all WZW models for sl(2), and found that they fell into an A-D-E pattern. Using this, they then classified all the Virasoro minimal models. The progress in extending this to higher rank Lie algebras had been slow until recently, but now finally we know the analogous results up to sl(7). In my talk I'll describe this recent work. What does A-D-E become in higher rank? E.g. for sl(3) it relates to Jacobians of Fermat curves.
Date & Time
May 18, 2026 | 11:00am – 12:00pm
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05/18/2026 11:00
05/18/2026 12:00
IAS CMP/QFT Group Meeting
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Topic: What comes after A-D-E?
Speakers: Terry Gannon, University of Alberta
Affiliation: University of Kentucky
More: https://www.ias.edu/sns/events/ias-cmpqft-group-meeting-31
ABSTRACT: In 1987, Cappelli-Itzykson-Zuber classified all WZW models
for sl(2), and found that they fell into an A-D-E pattern. Using this,
they then classified all the Virasoro minimal models. The progress in
extending this to higher rank Lie algebras had been slow until
recently, but now finally we know the analogous results up to sl(7).
In my talk I'll describe this recent work. What does A-D-E become in
higher rank? E.g. for sl(3) it relates to Jacobians of Fermat curves.
Bloomberg Hall Physics Library (IAS)
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Location
Bloomberg Hall Physics Library (IAS)Speakers
Terry Gannon, University of Alberta
Affiliation
University of Kentucky