{"paper":{"title":"2d Gauge Theories and Generalized Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Alexei Kotov, Thomas Strobl, Vladimir Salnikov","submitted_at":"2014-07-21T09:50:14Z","abstract_excerpt":"We show that in the context of two-dimensional sigma models minimal coupling of an ordinary rigid symmetry Lie algebra $\\mathfrak{g}$ leads naturally to the appearance of the \"generalized tangent bundle\" $\\mathbb{T}M \\equiv TM \\oplus T^*M$ by means of composite fields. Gauge transformations of the composite fields follow the Courant bracket, closing upon the choice of a Dirac structure $D \\subset \\mathbb{T}M$ (or, more generally, the choide of a \"small Dirac-Rinehart sheaf\" $\\cal{D}$), in which the fields as well as the symmetry parameters are to take values. In these new variables, the gauge "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5439","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"}