{"paper":{"title":"Gauge supergravity in $D=2+2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Castellani","submitted_at":"2017-07-11T18:00:19Z","abstract_excerpt":"We present an action for chiral $N=(1,0)$ supergravity in $2+2$ dimensions. The fields of the theory are organized into an $OSp(1|4)$ connection supermatrix, and are given by the usual vierbein $V^a$, spin connection $\\omega^{ab}$, and Majorana gravitino $\\psi$. In analogy with a construction used for $D=10+2$ gauge supergravity, the action is given by $\\int STr ({\\bf R}^2 {\\bf \\Gamma})$, where ${\\bf R}$ is the $OSp(1|4)$ curvature supermatrix two-form, and ${\\bf \\Gamma}$ a constant supermatrix containing $\\gamma_5$. It is similar, but not identical to the MacDowell-Mansouri action for $D=2+2$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03411","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"}