Diffusing polygons and SLE($κ,ρ$)
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We give a geometric derivation of SLE($κ,ρ$) in terms of conformally invariant random growing subsets of polygons. We relate the parameters $ρ_j$ to the exterior angles of the polygons. We also show that SLE($κ,ρ$) can be generated by a metric Brownian motion, where metric and Brownian motion are coupled and the metric ist the pull-back metric of the Euclidean metric of an evolving polygon.