{"paper":{"title":"Gaussian free field light cones and SLE$_\\kappa(\\rho)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CV","math.MP"],"primary_cat":"math.PR","authors_text":"Jason Miller, Scott Sheffield","submitted_at":"2016-06-07T18:47:52Z","abstract_excerpt":"We derive a surprising correspondence between SLE$_{\\kappa}(\\rho)$ processes and light cones of the Gaussian free field (GFF).\n  Recall that (one-sided, chordal, origin-seeded) SLE$_\\kappa(\\rho)$ processes are in some sense the simplest and most natural variants of the Schramm-Loewner evolution. They were originally defined only for $\\rho > -2$, but one can use L\\'evy compensation to extend the definition to any $\\rho > -2-\\tfrac{\\kappa}{2}$ and to obtain qualitatively different curves. The triangle $T = \\{(\\kappa, \\rho): (-2-\\tfrac{\\kappa}{2})\\vee (\\tfrac{\\kappa}{2}-4) < \\rho < -2 \\}$ is the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02260","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}