{"paper":{"title":"Perturbative study of Supercritical Crossover in Noncommutative-corrected Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ankit Anand, Shoucheng Wang","submitted_at":"2026-06-08T12:51:35Z","abstract_excerpt":"We analytically study the Widom line and supercritical crossover of noncommutative charged AdS black holes. Treating the noncommutative parameter $\\alpha$ perturbatively, we compute thermodynamic quantities and the scaled variance $\\Omega$ in both canonical and extended ensembles. The Widom line is identified as the extremum of $\\Omega$. Using a Landau expansion near the critical point, we derive the two symmetric crossover branches $L^{\\pm}$, which obey $\\delta T\\sim \\left|\\Delta Q\\right|^{\\beta+\\gamma}$, $\\delta S\\sim \\left|\\Delta Q \\right|^\\beta$ in the canonical ensemble and $\\delta P\\sim "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09443","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/2606.09443/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"}