Duality of Schramm-Loewner Evolutions

In this note, we prove a version of the conjectured duality of Schramm-Loewner Evolutions, by establishing exact identities in distribution between some boundary arcs of chordal ${\text{SLE}}_{\kappa }$, $\kappa >4$, and appropriate versions of ${\text{SLE}}_{\widehat{\kappa }}$, $\widehat{\kappa }=16\mathrm{/}\kappa$.