SLE_k stochastic processes describe growth of random curves which, in some cases, may be identified with boundaries of two dimensional critical percolating clusters. By generalizing SLE_k growths to formal Markov processes on the central extension of the 2d conformal group, we establish a connection between conformal field theories with central charges c_k=(3k-8)(6/k-1)/2 and zero modes -- observables which are conserved in mean -- of the SLE_k stochastic processes.
Publié le : 2002-07-05
Classification:
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR],
[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],
[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech],
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
@article{hal-00021800,
author = {Bauer, M. and Bernard, D.},
title = {SLE\_k growth processes and conformal field theories},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00021800}
}
Bauer, M.; Bernard, D. SLE_k growth processes and conformal field theories. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00021800/