SLE local martingales, reversibility and duality
Mathematical Physics
2007-05-23 v3 math.MP
Abstract
We study SLE reversibility and duality using the Virasoro structure of the space of local martingales. For both problems we formulate a setup where the questions boil down to comparing two processes at a stopping time. We state algebraic results showing that local martingales for the processes have enough in common. When one has in addition integrability, the method gives reversibility and duality for any polynomial expected value.
Cite
@article{arxiv.math-ph/0605058,
title = {SLE local martingales, reversibility and duality},
author = {Kalle Kytölä and Antti Kemppainen},
journal= {arXiv preprint arXiv:math-ph/0605058},
year = {2007}
}
Comments
12 pages, 2 figures. v2: extended introduction and clarified presentation, added references. v3: changes to presentation and more discussion about physical motivation (following referees suggestions)