{"paper":{"title":"Spin-charge deconfinement and emergent $\\mathrm{AdS}_3$ structure from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. Truelson, J. Kahanek, J. Maguire, K. Gonzales, L. Haddad, M. Kolding, V. Palombi","submitted_at":"2026-06-06T03:16:57Z","abstract_excerpt":"Building on a recent derivation of spin-charge separation in $(1+1)$d paired Dirac fermions~\\cite{Haddad2024}, we develop a self-consistent dressing $\\psi(x) = U(x)\\chi(x)$ for the full Fierz-complete four-fermion model, extending that result and providing a more detailed resolution of the chiral-difermion phase structure. A key feature of this approach is that the composite connection $A_\\mu^{\\rm dress} = i(\\partial_\\mu U)U^{-1}$ encodes obstructions to local trivialization of the Dirac operator, i.e., the degree to which the background can be absorbed into the dressing. Using this fact, we p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.07955","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/2606.07955/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"}