{"paper":{"title":"Toward the Structure Constants of $\\mathcal{N}=2$ Liouville Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Beatrix M\\\"uhlmann, Themistocles Zikopoulos","submitted_at":"2026-07-28T12:48:13Z","abstract_excerpt":"We discuss the structure constants of spacelike $\\mathcal{N}=2$ Liouville theory on the two-sphere. Due to the absence of a particular $b \\leftrightarrow b^{-1}$ self-dual symmetry, where $b$ is the theory's coupling, the standard analytic bootstrap toolkit that was used to solve the bosonic and $\\mathcal{N}=1$ theories cannot be implemented in a straightforward way. Our approach, instead, relies on the fact that $\\mathcal{N}=2$ Liouville theory is dual by mirror symmetry to the $\\mathrm{SL}(2)_k/\\mathrm{U}(1)$ supercoset, whose target space is the $2$d fermionic black hole. Leveraging this du"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25662","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/2607.25662/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"}