CFTs of SLEs: the radial case
arXiv:math-ph/0310032 · doi:10.1016/j.physletb.2004.01.028
Abstract
We present a relation between conformal field theories (CFT) and radial stochastic Schramm-Loewner evolutions (SLE) similar to that we previously developed for the chordal SLEs. We construct an important local martingale using degenerate representations of the Virasoro algebra. We sketch how to compute derivative exponants and the restriction martingales in this framework. In its CFT formulation, the SLE dual Fokker-Planck operator acts as the two-particle Calogero hamiltonian on boundary primary fields and as the dilatation operator on bulk primary fields localized at the fixed point of the SLE map.
11 pages
References in corpus (4)
Cited by in corpus (17)
- SLE for theoretical physicists
- 2D growth processes: SLE and Loewner chains
- Multiple Schramm-Loewner Evolutions and Statistical Mechanics Martingales
- Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
- Conformal Random Geometry
- Critical curves in conformally invariant statistical systems
- The Gaussian free field and SLE(4) on doubly connected domains
- Multiple Schramm-Loewner evolutions for conformal field theories with Lie algebra symmetries
- On conformal field theory of SLE(kappa; rho)
- SLE in self-dual critical Z(N) spin systems: CFT predictions
- Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
- Radial SLE martingale-observables
- Algebraic properties of CFT coset construction and Schramm-Loewner evolution
- Conformal field theory of dipolar SLE(4) with mixed boundary condition
- Conformal field theory on the Riemann sphere and its boundary version for SLE
- Stochastic Loewner Evolution
- Conformal field theory of dipolar SLE with the Dirichlet boundary condition