{"paper":{"title":"Conformally invariant fields out of Brownian loop soups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Antoine Jego, Titus Lupu, Wei Qian","submitted_at":"2023-07-20T10:07:33Z","abstract_excerpt":"Consider a Brownian loop soup $\\mathcal{L}_D^\\theta$ with subcritical intensity $\\theta \\in (0,1/2]$ in some 2D bounded simply connected domain. We define and study the properties of a conformally invariant field $h_\\theta$ naturally associated to $\\mathcal{L}_D^\\theta$. Informally, this field is a signed version of the local time of $\\mathcal{L}_D^\\theta$ to the power $1-\\theta$. When $\\theta=1/2$, $h_\\theta$ is a Gaussian free field (GFF) in $D$.\n  Our construction of $h_\\theta$ relies on the multiplicative chaos $\\mathcal{M}_\\gamma$ associated with $\\mathcal{L}_D^\\theta$, as introduced in ["},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.10740","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.10740/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}