It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Löwner evolutions. Based on the existence of a logarithmic null vector in an indecomposable highest-weight module of the Virasoro algebra, the representation theory of the logarithmic conformal field theory is related to entities conserved in mean under the stochastic process.
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- September 2004
- conformal field theory conformal field theory (theory) stochastic loewner evolution;
- Mathematical Physics;
- High Energy Physics - Theory
- 10 pages, LaTeX, v2: version to be published