{"paper":{"title":"Symmetries of WDVV equations","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Albert Schwarz, Maxim Kontsevich, Yujun Chen","submitted_at":"2005-08-30T03:13:00Z","abstract_excerpt":"We say that a function F(tau) obeys WDVV equations, if for a given invertible symmetric matrix eta^{alpha beta} and all tau \\in T \\subset R^n, the expressions c^{alpha}_{beta gamma}(tau) = eta^{alpha lambda} c_{lambda beta gamma}(tau) = eta^{alpha lambda} \\partial_{lambda} \\partial_{beta} \\partial_{gamma} F can be considered as structure constants of commutative associative algebra; the matrix eta_{alpha beta} inverse to \\eta^{\\alpha \\beta} determines an invariant scalar product on this algebra. A function x^{alpha}(z, tau) obeying \\partial_{alpha} \\partial_{beta} x^{gamma} (z, tau) = z^{-1} c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508221","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/hep-th/0508221/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"}