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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.05323","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-17T14:56:41Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"2c3b718bf6cb4c72df3f6df539e8fa79b104bd5793227fb90d31245a36f29998","abstract_canon_sha256":"c6597e841344078c5bc8d8889e570c241c4cea2d5a2d7278303495c060848d37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:14.657429Z","signature_b64":"/ysq7qNYJP23X76+/Mf8EM3GEmHNRRtD6OjMiMRTetWSb9vrx/X50CjK/P8ILewdeuEaF9Hfh0gssjIBQ9ZwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7679ebba8ddde1e433ff37bded2b4b56c7781868f52640bee72b7d801d516939","last_reissued_at":"2026-05-18T00:28:14.656684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:14.656684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $L$. 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