We prove that the Hausdorff dimension of the trace of SLE6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler–Schramm–Werner) that the dimension of its boundary is 4/3. We also prove that, for all κ<8, the SLEκ trace has cut-points.
"Hausdorff dimensions for SLE6." Ann. Probab. 32 (3B) 2606 - 2629, July 2004. https://doi.org/10.1214/009117904000000072