Random loops and conformal field theory
arXiv:1402.2432 · doi:10.1088/1742-5468/2014/02/P02015
Abstract
This is a review of results obtained by the author concerning the relation between conformally invariant random loops and conformal field theory. This review also attempts to provide a physical context in which to interpret these results by making connections with aspects of the nucleation theory of phase transitions and with general properties of criticality.
25 pages, 11 figures. Proceedings of the XXV IUPAP International Conference on Statistical Physics, Seoul National University, South Korea, 22-26 July 2013
References in corpus (10)
- 2D growth processes: SLE and Loewner chains
- A Guide to Stochastic Loewner Evolution and its Applications
- Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
- Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
- Critical curves in conformally invariant statistical systems
- Conformal loop ensembles and the stress-energy tensor
- Conformal Invariance of Spin Correlations in the Planar Ising Model
- Higher conformal variations and the Virasoro vertex operator algebra
- Hypotrochoids in conformal restriction systems and Virasoro descendants
- Conformal Field Theory, Vertex Operator Algebra and Stochastic Loewner Evolution in Ising Model