{"paper":{"title":"Soft Algebra for ${\\cal N}=4$ SYM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Andrew Strominger, Luis F. Alday","submitted_at":"2026-06-07T11:37:35Z","abstract_excerpt":"Scattering amplitudes of $n$ particles in nonabelian gauge theories admit factorizations of the general form $\\mathcal{A}_n \\;=\\; \\mathcal{A}^{\\rm soft}_n \\times \\mathcal{A}^{\\rm hard}_n$, where $\\mathcal{A}^{\\rm soft}_n$ is IR divergent, while $\\mathcal{A}^{\\rm hard}_n$ is IR finite and encodes the higher loop corrections to scattering. We specify a particular all-orders definition of this factorization for planar ${\\cal N}=4$ super Yang-Mills (SYM) and argue that the resulting $\\mathcal{A}_n^{\\rm hard}$ obeys an uncorrected tree-level soft theorem. Moreover it furnishes a representation of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08582","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/2606.08582/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"}