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Domain walls for spin glasses are believed to be scale invariant invariant; astronger symmetry, conformal invariance, has the potential to hold. Thestatistics of zero-temperature Ising spin glass domain walls in two dimensionsare used to test the hypothesis that these domain walls are described by aSchramm-Loewner evolution SLE$_\kappa$. Multiple tests are consistent withSLE$_\kappa$, where $\kappa=2.30(5)$. Both conformal invariance and the domainMarkov property are tested. The latter does not hold in small systems, butdetailed numerical evidence suggests that it holds in the continuum limit.Comment: 4 pages, 3 figures, see related work by Amoruso, Hartmann, Hastings,  Moore at cond-mat/060171

Possible description of domain walls in two-dimensional spin glasses by stochastic Loewner evolutions