{"paper":{"title":"Discrete series of representations for the modular double of U_q(sl(2,R))","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.QA","authors_text":"L. D. Faddeev","submitted_at":"2007-12-17T15:48:59Z","abstract_excerpt":"Modular double of quantum group U_q (sl(2)) with deformation parameter q=e^{i\\pi\\tau} is a natural object explicitly taking into account the duality \\tau -> 1/\\tau. The use of the modular double in CFT allows to consider the region 1<c<25 for the central charge of the Virasoro algebra when |\\tau|=1. In this paper a new discrete series of representations for the modular double of U_q (sl(2,R)) is found for such \\tau."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.2747","kind":"arxiv","version":4},"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/0712.2747/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"}