{ "id": "1611.07978", "version": "v1", "published": "2016-11-23T21:00:00.000Z", "updated": "2016-11-23T21:00:00.000Z", "title": "The Topology of Double Field Theory", "authors": [ "Falk Hassler" ], "comment": "34 pages, 1 figure", "categories": [ "hep-th" ], "abstract": "We describe the doubled space of Double Field Theory as a group manifold $G$ with an arbitrary generalized metric. Local information from the latter is not relevant to our discussion and so $G$ only captures the topology of the doubled space. Strong Constraint solutions are maximal isotropic submanifold $M$ in $G$. We construct them and their Generalized Geometry in Double Field Theory on Group Manifolds. In general, $G$ admits different physical subspace $M$ which are T-dual to each other. By studying two examples, we reproduce the topology changes induced by T-duality with non-trivial $H$-flux which were discussed by Bouwknegt, Evslin and Mathai [hep-th/0306062].", "revisions": [ { "version": "v1", "updated": "2016-11-23T21:00:00.000Z" } ], "analyses": { "keywords": [ "double field theory", "group manifold", "doubled space", "maximal isotropic submanifold", "strong constraint solutions" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable" } } }