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Lax representation for the non-linear sigma model with a global U(1)xU(1) isometry

Presenter
March 28, 2012
MSRI
Keywords:
  • mathematical physics
  • mathematical statistical mechanics
  • conformal field theory
  • conformal invariance
  • random point process
  • probability theory
  • SLE
  • non-linear sigma model
  • Lax representation
  • Ricci flow
  • Riemannian geometry
MSC:
  • 60K35
  • 60J45
  • 60J65
  • 60J67
  • 60Jxx
  • 60-xx
  • 60G57
  • 60G60
  • 82-xx
  • 82B44
  • 82B43
Lax representation for the non-linear sigma model with a global U(1)xU(1) isometry Thumbnail
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Abstract
We discuss classical and quantum aspects of integrability for a certain 4-parametric deformation of the O(4) non-linear sigma model. The corresponding 1-loop RG flow equations provide an interesting UV-finite solution of the 3-dim Ricci flow.
Abstract
Supplementary Materials