{"paper":{"title":"AGT, Burge pairs and minimal models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Bershtein, O. Foda","submitted_at":"2014-04-28T18:00:36Z","abstract_excerpt":"We consider the AGT correspondence in the context of the conformal field theory $M^{\\, p, p^{\\prime}}$ $\\otimes$ $M^{H}$, where $M^{\\, p, p^{\\prime}}$ is the minimal model based on the Virasoro algebra $V^{\\, p, p^{\\prime}}$ labeled by two co-prime integers $\\{p, p^{\\prime}\\}$, $1 < p < p^{\\prime}$, and $M^{H}$ is the free boson theory based on the Heisenberg algebra $H$. Using Nekrasov's instanton partition functions without modification to compute conformal blocks in $M^{\\, p, p^{\\prime}}$ $\\otimes$ $M^{H}$ leads to ill-defined or incorrect expressions.\n  Let $B^{\\, p, p^{\\prime}, H}_n$ be a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7075","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}