SLE local martingales, reversibility and duality

Details SLE local martingales, reversibility and duality SLE local martingales, reversibility and duality

2006-05-19

arxiv.org/abs/math-ph/0605058v3

J.Phys.A: Math.Gen. Vol. 39 L657-L666

Physics

Mathematical Physics

12 pages, 2 figures. v2: extended introduction and clarified presentation, added references. v3: changes to presentation and m

Scientific paper

10.1088/0305-4470/39/46/L02

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.

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