Sle(kappa,rho) and conformal field theory
Dec, 2004Citations per year
Abstract:
SLE(kappa,rho) is a generalisation of Schramm-Loewner evolution which describes planar curves which are statistically self-similar but not conformally invariant in the strict sense. We show that, in the context of boundary conformal field theory, this process arises naturally in models which contain a conserved U(1) current density J, in which case it gives rise to a highest weight state satisfying a deformation of the usual level 2 null state condition. We apply this to a free field theory with piecewise constant Dirichlet boundary conditions, with a discontinuity lambda at the origin, and argue that this will lead to level lines in the bulk described by SLE(4,rho) across which there is a universal macroscopic jump lambda* in the field, independent of the value of lambda.- field theory: conformal
- dimension: 2
- axiomatic field theory
- field theory: transformation
- analytic properties
- perturbation theory
- gas: Coulomb
- symmetry: O(N)
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