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SUMMARY:Quantum groups as global symmetries in the continuum - Bernardo Za
 n\, University of Cambridge
DTSTART:20240530T120000Z
DTEND:20240530T130000Z
UID:TALK215743@talks.cam.ac.uk
CONTACT:Jackson Fliss
DESCRIPTION:Quantum groups are deformations of algebras which often appear
  in two dimensional physics. In QFT\, for example\, they appear in integra
 ble RG flows satisfying the Yang Baxter relation\; in CFT\, they play a ro
 le in the crossing kernel of Virasoro blocks and in the fusion rules of so
 me WZW models. However\, contrary to what happens on the lattice\, these q
 uantum groups do not normally appear as global symmetries\, in the sense t
 hat they do not act on operators. I will show what it means for a CFT to h
 ave the quantum group Uq(sl2) as a global symmetry. As an example\, I will
  work out a CFT arising from the Uq(sl2) symmetric XXZ spin chain with non
 -local boundary conditions. I will explain how this can be studied with Co
 ulomb gas techniques\, and show its relation to unitary theories\, by show
 ing that in special cases this CFT admits subsectors which are twisted ver
 sions of minimal models.
LOCATION:Potter Room (B1.19)
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