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Conformal invariance of double-dimer loops

Presenter
March 26, 2012
MSRI
Keywords:
  • mathematical statistical mechanics
  • conformal field theory
  • conformal invariance
  • probability theory
  • mathematical physics
  • random point process
  • SLE
  • Kasteleyn matrix
  • Fock-Goncharov coordinates
  • Dyson series
MSC:
  • 60K35
  • 60J45
  • 60J65
  • 60J67
  • 60Jxx
  • 60-xx
  • 60G57
  • 60G60
  • 82-XX
  • 82B43
  • 82B44
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Abstract
We use the quaternionic Kasteleyn matrix to prove conformal invariance of loops in the double-dimer model on periodic bipartite planar graphs.
Abstract
Supplementary Materials