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SUMMARY:The search for the exotic in Subfactors and Conformal Field Theory
  - David Evans (Cardiff University)
DTSTART:20220819T130000Z
DTEND:20220819T140000Z
UID:TALK177461@talks.cam.ac.uk
DESCRIPTION:Groups can act as symmetries of physical systems and on their 
 mathematical models as in conformal field theory.\nSubfactor theory\, init
 iated by Vaughan Jones\, &nbsp\;provides a framework for&nbsp\;providing q
 uantum symmetries beyond those arising from groups or their\ndeformations 
 as quantum groups or&nbsp\; loop groups. The accepted position was that th
 e&nbsp\;Haagerup&nbsp\;system\, associated with the a subfactor at index (
 5+ square root of 13)/2\,&nbsp\; was exotic and surely could not be constr
 ucted from group like symmetries.&nbsp\; I&nbsp\; discuss work with Terry 
 Gannon that this should be considered as misconception and the more genera
 l issue of constructing conformal field theories from subfactors and their
  associated modular tensor categories. I will start with an overview of su
 bfactors before discussing the Haagerup subfactor.
LOCATION:Seminar Room 2\, Newton Institute
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