{"paper":{"title":"Fractionalized Vortices Drive Kosterlitz-Thouless Transitions in Dipole-Conserving Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"cond-mat.quant-gas","authors_text":"Han-Xie Wang, Peng Ye, Shuai A. Chen, Zheng Yan","submitted_at":"2026-06-24T03:11:35Z","abstract_excerpt":"Finite-temperature dipole-conserving superfluids in two dimensions pose a direct challenge to the usual Kosterlitz-Thouless (KT) paradigm: the primary phase field lacks quasi-long-range order, and the conventional vortex has only finite self-energy. We show that KT criticality nevertheless survives through a fractionalization of the vortex sector. In the dipole-conserving XY model, a minimal classical lattice realization of a fractonic superfluid, the conventional vortex is a finite-energy composite of two unconventional vortices in compact dipole fields. These fractionalized constituents have"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25340","kind":"arxiv","version":1},"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/2606.25340/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"}