The Topology of Double Field Theory
Nov 23, 2016Citations per year
Abstract: (Springer)
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 Poisson-Lie 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 [1].Note:
- 37 pages, 1 figure, published version
- Effective Field Theories
- String Duality
- topology: transition
- constraint: solution
- double field theory
- T-duality
- geometry
- fibre bundle
- group: Lie
- deformation
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