{"paper":{"title":"Relations between integrated correlators in $\\mathcal{N}=4$ Supersymmetric Yang--Mills Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Congkao Wen, Daniele Dorigoni, Luis F. Alday, Michael B. Green, Shai M. Chester","submitted_at":"2023-10-18T20:45:03Z","abstract_excerpt":"Integrated correlation functions in $\\mathcal{N}=4$ supersymmetric Yang--Mills theory with gauge group $SU(N)$ can be expressed in terms of the localised $S^4$ partition function, $Z_N$, deformed by a mass $m$. Two such cases are $\\mathcal{C}_N=(\\text{Im} \\tau)^2 \\partial_\\tau\\partial_{\\bar\\tau} \\partial_m^2\\log Z_N\\vert_{m=0}$ and $\\mathcal{H}_N=\\partial_m^4\\log Z_N\\vert_{m=0}$, which are modular invariant functions of the complex coupling $\\tau$. While $\\mathcal{C}_N$ was recently written in terms of a two-dimensional lattice sum for any $N$ and $\\tau$, $\\mathcal{H}_N$ has only been evaluate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.12322","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/2310.12322/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"}