{"paper":{"title":"Three-point functions of higher-spin supercurrents in 4D ${\\cal N}=1$ superconformal field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Evgeny I. Buchbinder, Gabriele Tartaglino-Mazzucchelli, Jessica Hutomo","submitted_at":"2022-08-15T08:09:22Z","abstract_excerpt":"We develop a general formalism to study the three-point correlation functions of conserved higher-spin supercurrent multiplets $J_{\\alpha(r) \\dot{\\alpha}(r)}$ in 4D ${\\cal N}=1$ superconformal theory. All the constraints imposed by ${\\cal N}=1$ superconformal symmetry on the three-point function $\\langle J_{\\alpha(r_1) \\dot{\\alpha}(r_1)} J_{\\beta(r_2) \\dot{\\beta}(r_2) }J_{\\gamma(r_3) \\dot{\\gamma}(r_3)}\\rangle$ are systematically derived for arbitrary $r_1, r_2, r_3$, thus reducing the problem mostly to computational and combinatorial. As an illustrative example, we explicitly work out the allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.07057","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/2208.07057/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"}