{"paper":{"title":"Parafermionic Liouville field theory and instantons on ALE spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. M. Tarnopolsky, M. N. Alfimov","submitted_at":"2011-10-25T19:56:30Z","abstract_excerpt":"In this paper we study the correspondence between the $\\hat{\\textrm{su}}(n)_{k}\\oplus \\hat{\\textrm{su}}(n)_{p}/\\hat{\\textrm{su}}(n)_{k+p}$ coset conformal field theories and $\\mathcal{N}=2$ SU(n) gauge theories on $\\mathbb{R}^{4}/\\mathbb{Z}_{p}$. Namely we check the correspondence between the SU(2) Nekrasov partition function on $\\mathbb{R}^{4}/\\mathbb{Z}_{4}$ and the conformal blocks of the $S_{3}$ parafermion algebra (in $S$ and $D$ modules). We find that they are equal up to the U(1)-factor as it was in all cases of AGT-like relations. Studying the structure of the instanton partition funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5628","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"}