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SUMMARY:Wavefunctions of symmetry protected topological phases and conform
 al field theories - Zohar Ringel\, Oxford University
DTSTART:20150514T131500Z
DTEND:20150514T141500Z
UID:TALK58715@talks.cam.ac.uk
CONTACT:Dr G Moller
DESCRIPTION:In has long been known that conformal field theories (CFTs) in
  2D and topological phases in 2+1D are closely related topics. The corresp
 ondence between them allows one to write fractional quantum Hall wavefunct
 ions as many operator correlators in a CFT\, thereby providing strong anal
 ytical tools to study the bulk and edge excitations of these phases. Wheth
 er a similar relation holds between symmetry protected topological phases 
 (SPTs) and CFTs is an open question. In this talk\, I'll consider several 
 known lattice wavefunctions of integer SPTs and show how a correspondence 
 with CFTs\, similar but not identical to the one above\, emerges at large 
 scales. In some cases\, the resulting large scale wavefunction takes a Lau
 ghlin-like form which includes the flux attachment\, hidden order\, and pl
 asma structures. Other potential benefits of this approach\, both for the 
 study of exotic SPTs as well as for less understood CFTs will also be disc
 ussed.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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