{"paper":{"title":"Brane expansions for anti-symmetric line operator index","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Masato Inoue, Yosuke Imamura","submitted_at":"2024-04-12T07:48:44Z","abstract_excerpt":"Based on the D5-brane realization of Wilson line operators in anti-symmetric representations, we propose brane expansion formulas for $I_{N,k}$, the Schur index of ${\\cal N}=4$ $U(N)$ SYM decorated by line operators in the anti-symmetric representation of rank $k$. For the large $N$ index $I_{\\infty,k}$ we propose a double-sum expansion, and for finite $N$ index $I_{N,k}$ we propose a quadruple-sum expansion. Objects causing finite $k$ and finite $N$ corrections are disk D3-branes ending on the D5-brane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08302","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.08302/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}