{"paper":{"title":"Taming Defects in $\\mathcal{N}=4$ Super-Yang-Mills","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yifan Wang","submitted_at":"2020-03-24T17:59:59Z","abstract_excerpt":"We study correlation functions involving extended defect operators in the four-dimensional ${\\cal N}=4$ super-Yang-Mills (SYM). The main tool is supersymmetric localization with respect to the supercharge $\\cal Q$ introduced in \\cite{Pestun:2009nn} which computes observables in the $\\cal Q$-cohomology. We classify general defects of different codimensions in the ${\\cal N}=4$ SYM that belong to the $\\cal Q$-cohomology, which form ${1\\over 16}$-BPS defect networks. By performing the $\\cal Q$-localization of the ${\\cal N}=4$ SYM on the four-dimensional hemisphere, we discover a novel defect-Yang-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11016","kind":"arxiv","version":3},"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/2003.11016/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"}