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SUMMARY:Baxterising using conserved currents - Paul Fendley (University of
  Oxford)
DTSTART:20170613T123000Z
DTEND:20170613T133000Z
UID:TALK72902@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Many integrable critical classical statistical mechanical mode
 ls and the corresponding quantum spin chains possess an unusual sort of co
 nserved current. Such currents have been constructed by utilising quantum-
 group algebras\, fermionic and parafermionic operators\, and ideas from ``
 discrete holomorphicity&#39\;&#39\;. I define them generally and naturally
  using a braided tensor category\, a structure familiar from the study of 
 knot invariants and from conformal field theory.&nbsp\; Requiring the exis
 tence of the currents provides a simple way of ``Baxterising&#39\;&#39\;\,
  i.e. building a solution of the Yang-Baxter equation out of topological d
 ata.&nbsp\; This approach allows many new examples of conserved currents t
 o be found\, for example in height models.&nbsp\; Although integrable mode
 ls found by this construction are critical\, I find one non-critical gener
 alisation: requiring a ``shift&#39\;&#39\; operator in the chiral clock ch
 ain yields precisely the Hamiltonian of the integrable chiral Potts chain.
 <br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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