Centre for Particle Theory Colloquia: SLE for Theoretical Physicists
4 November 2008 16:15 in CLC 202
We can describe the growth of a simply connected set in the plane by thinking about how the conformal transformation, which maps it to some standard set like the unit circle, evolves. For the scaling limit of sets which arise 2d statistical mechanics (for example spin clusters in the Ising model), this is conjectured to be particularly simple, and is called Schramm-Loewner Evolution (SLE). However the scaling limit of such models is also supposed to be described by conformal field theory (CFT). We show that a link between these two can be made through so-called parafermionic holomorphic observables, which can already be identified on the lattice.
Coffee and biscuits at 15:30 in CM 211 (Maths Coffee Room).