{"paper":{"title":"(Super-)renormalizable hairy meronic black holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Analytical black hole solutions generalize the charged MTZ black hole to include self-gravitating non-Abelian gauge fields in Einstein-Maxwell-Yang-Mills theory with conformal scalars.","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Borja Diez, Luis Avil\\'es","submitted_at":"2026-04-28T16:51:49Z","abstract_excerpt":"We construct an analytical black hole solution in the Einstein-Maxwell-Yang-Mills theory with a conformally coupled scalar field in four dimensions, which generalizes the charged Mart\\'inez-Troncoso-Zanelli (MTZ) black hole in the presence of self-gravitating non-Abelian gauge fields. The internal gauge group is determined by the horizon curvature, becoming $SU(N)$ in the case of positive curvature and $SU(N-1,1)$ when the curvature is negative. Moreover, this solution is employed as a conformal seed to obtain new meronic spacetimes dressed with all (super-)renormalizable contributions of the "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We construct an analytical black hole solution in the Einstein-Maxwell-Yang-Mills theory with a conformally coupled scalar field in four dimensions, which generalizes the charged Martínez-Troncoso-Zanelli (MTZ) black hole in the presence of self-gravitating non-Abelian gauge fields.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the internal gauge group is fixed by the sign of the horizon curvature (SU(N) for positive, SU(N-1,1) for negative) and that the conformal coupling plus Yang-Mills terms admit closed-form analytical solutions satisfying the full field equations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Analytical black hole solutions generalize the charged MTZ black hole to include self-gravitating non-Abelian gauge fields in Einstein-Maxwell-Yang-Mills theory with conformal scalars.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f0f3cf6553f681324e7a43dd5c19a82704f8ed122512ea6c971451ec21ef6ed7"},"source":{"id":"2604.25844","kind":"arxiv","version":2},"verdict":{"id":"19a7ea74-2e19-4446-b83a-a7ec64959005","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T15:41:12.898049Z","strongest_claim":"We construct an analytical black hole solution in the Einstein-Maxwell-Yang-Mills theory with a conformally coupled scalar field in four dimensions, which generalizes the charged Martínez-Troncoso-Zanelli (MTZ) black hole in the presence of self-gravitating non-Abelian gauge fields.","one_line_summary":"Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the internal gauge group is fixed by the sign of the horizon curvature (SU(N) for positive, SU(N-1,1) for negative) and that the conformal coupling plus Yang-Mills terms admit closed-form analytical solutions satisfying the full field equations.","pith_extraction_headline":"Analytical black hole solutions generalize the charged MTZ black hole to include self-gravitating non-Abelian gauge fields in Einstein-Maxwell-Yang-Mills theory with conformal scalars."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.25844/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T03:39:42.095039Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:43:50.534622Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"0b13a0e54827009202cf2cb3225b576e61b53b04ff91c3d1790acfb3aec3a220"},"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"}