{"paper":{"title":"A limit for large $R$-charge correlators in $\\mathcal{N}=2$ theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Antoine Bourget, Diego Rodriguez-Gomez, Jorge G. Russo","submitted_at":"2018-03-01T19:00:05Z","abstract_excerpt":"Using supersymmetric localization, we study the sector of chiral primary operators $({\\rm Tr} \\, \\phi^2 )^n$ with large $R$-charge $4n$ in $\\mathcal{N}=2$ four-dimensional superconformal theories in the weak coupling regime $g\\rightarrow 0$, where $\\lambda\\equiv g^2n$ is kept fixed as $n\\to\\infty $, $g$ representing the gauge theory coupling(s). In this limit, correlation functions $G_{2n}$ of these operators behave in a simple way, with an asymptotic behavior of the form $G_{2n}\\approx F_{\\infty}(\\lambda) \\left(\\frac{\\lambda}{2\\pi e}\\right)^{2n}\\ n^\\alpha $, modulo $O(1/n)$ corrections, with "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00580","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":""},"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"}