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β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework

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Abstract

We present a ten-dimensional theory, named β-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. We reproduce the ten-dimensional Lagrangian using the Generalized Geometry formalism; 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 β gauge transformation. We also introduce the related notion of a generalized cotangent bundle.

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  1. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany

    David Andriot & André Betz

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  1. David Andriot
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Andriot, D., Betz, A. β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework. J. High Energ. Phys. 2013, 83 (2013). https://doi.org/10.1007/JHEP12(2013)083

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