{"paper":{"title":"Exact Finite-$N$ eRS Surface-Defect Indices and Giant-Graviton Corrections in $\\mathcal N=4$ SYM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ji-Seong Chae","submitted_at":"2026-08-02T16:11:50Z","abstract_excerpt":"We study the finite-$N$ superconformal index of four-dimensional $\\mathcal N=4$ $U(N)$ Yang--Mills theory with antisymmetric elliptic Ruijsenaars--Schneider (eRS) insertions. The eRS insertions turn the uninserted index, which is an unweighted spectral sum, into a family of protected observables weighted by eRS eigenvalues and therefore retain finite-$N$ information not determined by the ordinary index alone On the codimension-one locus $t=q$, $p=uv$, the eRS operators become conjugate to free shifts, allowing us to rewrite the self-glued index as a bilateral free-fermion determinant. This giv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01349","kind":"arxiv","version":1},"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/2608.01349/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"}