The SLE$_{8/3}$ scaling-limit conjecture for self-avoiding walks

Let $\gamma$ denote a rescaled self-avoiding curve, and let $SLE_{8/3}$ denote chordal Schramm–Loewner Evolution with parameter $8/3$. Self-avoiding-walk scaling-limit conjecture. The scaling limit of the measure on self-avoiding curves exists and is $SLE_{8/3}$. This is the more specific prediction obtained by combining conformal restriction with the uniqueness theorem for the restriction measure supported on simple curves; the source presents it as a conjectural description of the scaling limit.