{"paper":{"title":"The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"2, (2) Yukawa Institute for Theoretical Physics Kyoto University, 3), (3) Escuela de Fisica Universidad Industrial de Santander, (4) Departamento de Fisica Universidad del Valle), Cesar A. Valenzuela-Toledo (4) ((1) Centro de Investigaciones Universidad Antonio Narino, Juan P. Beltran Almeida (1), Yeinzon Rodriguez (1","submitted_at":"2013-01-24T17:06:11Z","abstract_excerpt":"We present the different consistency relations that can be seen as variations of the well known Suyama-Yamaguchi (SY) consistency relation \\tau_{NL} \\geqslant ((6/5) f_{NL})^2. It has been claimed that the following variation: \\tau_{NL} ({\\bf k}_1, {\\bf k_3}) \\geqslant (6/5)^2 f_{NL} ({\\bf k}_1) f_{NL} ({\\bf k}_3), which we call \"the fourth variety\", in the collapsed (for \\tau_{NL}) and squeezed (for f_{NL}) limits is always satisfied independently of any physics; however, the proof depends sensitively on the assumption of scale-invariance which only applies for cosmological models involving L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5843","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"}