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SUMMARY:The truth about finite group orbifolds - Terry Gannon (University 
 of Alberta)
DTSTART:20170616T133000Z
DTEND:20170616T143000Z
UID:TALK72965@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Chiral CFTs (VOAs or conformal nets) are interesting for their
  representation theory.&nbsp\;Orbifolds are a standard method for construc
 ting new chiral CFTs&nbsp\;from old ones. Start with&nbsp\;a chiral theory
  with trivial representation theory\, and orbifold it&nbsp\;by a finite gr
 oup\; the result (called a <i>holomorphic orbifold</i>)&nbsp\;has the repr
 esentation theory given by the twisted Drinfeld double of that finite grou
 p\, where the&nbsp\;twist is&nbsp\;a 3-cocycle.&nbsp\;In practise it is ha
 rd to identify that twist.&nbsp\;<br><br>I&#39\;ll begin my talk by giving
  some examples of orbifolds. I&#39\;ll identify a well-known class of holo
 morphic orbifolds where we now know the twist. I&#39\;ll relate holomorphi
 c orbifolds to KK-theory as well as&nbsp\;the PhD thesis of a certain Vaug
 han Jones. Then I&#39\;ll explain how any choice of finite group and 3-coc
 ycle is realized by a chiral CFT.&nbsp\;This is joint work with David Evan
 s.
LOCATION:Seminar Room 1\, Newton Institute
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