{"paper":{"title":"Line defect Schur indices, Verlinde algebras and $U(1)_r$ fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Fei Yan","submitted_at":"2017-08-17T14:56:41Z","abstract_excerpt":"Given an $\\mathcal{N}=2$ superconformal field theory, we reconsider the Schur index $\\mathcal{I}_L(q)$ in the presence of a half line defect $L$. Recently Cordova-Gaiotto-Shao found that $\\mathcal{I}_L(q)$ admits an expansion in terms of characters of the chiral algebra $\\mathcal{A}$ introduced by Beem et al., with simple coefficients $v_{L,\\beta}(q)$. We report a puzzling new feature of this expansion: the $q \\to 1$ limit of the coefficients $v_{L_,\\beta}(q)$ is linearly related to the vacuum expectation values $\\langle L \\rangle$ in $U(1)_r$-invariant vacua of the theory compactified on $S^1"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05323","kind":"arxiv","version":2},"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"}