David Andriot, Andre Betz
We present a ten-dimensional theory, named {\beta}-supergravity, that contains non-geometric fluxes and could uplift some four-dimensional gauged supergravities. Building on earlier work, we study here its NSNS sector, where Q- and R-fluxes are precisely identified. Interestingly, the Q-flux is captured in an analogue of the Levi-Civita spin connection, giving rise to a second curvature scalar in the Lagrangian. We reproduce the latter using the Generalized Geometry formalism of Coimbra, Strickland-Constable and Waldram; this provides us with enlightening interpretations of the new structures. Then, we derive the equations of motion of our theory, and finally discuss further aspects: the dimensional reduction to four dimensions and comparison to gauged supergravities, the obtention of ten-dimensional purely NSNS solutions, the extensions to other sectors and new objects, the supergravity limit, and eventually the symmetries, in particular the {\beta} gauge transformation. We also introduce the related notion of a generalized cotangent bundle.
View original:
http://arxiv.org/abs/1306.4381
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