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The formula is particularly valuable in the context of AdS$_{4}\\times Y_{7}$ vacua of M-theory and their field theory duals. As an application, we consider 3d $\\mathcal N=3$ Chern-Simons theories with affine ADE quivers. While the $\\widehat A$ series corresponds to toric $Y_{7}$, the $\\widehat D$ and $\\widehat E$ series are"},"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":"1702.05486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-02-17T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"2c32b419a974b7352f5ad5f3b937320984c5a83754c550ebb0d806eae3431673","abstract_canon_sha256":"06405054c5fe4eeec6bada821308d486083458affa652d54712fe77ba18f4fd3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:18.145270Z","signature_b64":"Kit1Ab9BL9G97yELxzBuw7mtJeuGDOBfW9kW6HrW9q8PbOOOELQaUkiipNklA3WyfpA78auzJNttT5RxrE6vBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"930da1212ba7dcf97ade51fb22e2d5bb306837c39898cb5d3aad6194e54e0c23","last_reissued_at":"2026-05-17T23:59:18.144801Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:18.144801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-toric Cones and Chern-Simons Quivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dharmesh Jain, P. 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