{"paper":{"title":"Killing spinors in supergravity with 4-fluxes","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Ilka Agricola, Thomas Friedrich (Berlin)","submitted_at":"2003-07-28T09:57:09Z","abstract_excerpt":"We study the spinorial Killing equation of supergravity involving a torsion 3-form $\\T$ as well as a flux 4-form $\\F$. In dimension seven, we construct explicit families of compact solutions out of 3-Sasakian geometries, nearly parallel $\\G_2$-geometries and on the homogeneous Aloff-Wallach space. The constraint $\\F \\cdot \\Psi = 0$ defines a non empty subfamily of solutions. We investigate the constraint $\\T \\cdot \\Psi = 0$, too, and show that it singles out a very special choice of numerical parameters in the Killing equation, which can also be justified geometrically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0307360","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":""},"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"}