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

Understand

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.
• We reproduce the ten-dimensional Lagrangian using the Generalized Geometry formalism; this provides us with enlightening interpretations of the new structures.