{"paper":{"title":"Exact Half-BPS Flux Solutions in M-theory I, Local Solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Darya Krym, Eric D'Hoker, John Estes, Michael Gutperle","submitted_at":"2008-06-03T18:00:43Z","abstract_excerpt":"The complete eleven-dimensional supergravity solutions with 16 supersymmetries on manifolds of the form $AdS_3 \\times S^3 \\times S^3 \\times \\Sigma$, with isometry $SO(2,2) \\times SO(4) \\times SO(4)$, and with either $AdS_4 \\times S^7$ or $AdS_7 \\times S^4$ boundary behavior, are obtained in exact form. The two-dimensional parameter space $\\Sigma$ is a Riemann surface with boundary, over which the product space $AdS_3 \\times S^3 \\times S^3$ is warped. By mapping the reduced BPS equations to an integrable system of the sine-Gordon/Liouville type, and then mapping this integrable system onto a li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0605","kind":"arxiv","version":3},"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"}