SLE(,) martingales and duality

Abstract

Various features of the two-parameter family of Schramm-Loewner evolutions SLE(,) are studied. In particular, we derive certain restriction properties that lead to a ``strong duality'' conjecture, which is an identity in law between the outer boundary of a variant of the SLE() process for 4 and a variant of the SLE(16/) process.

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