β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework
By D. Andriot, A. Betz. 2013
140 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c54fb73023b194549a52a727af1277d42325abb5
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Citations in the corpus
- Double field theory: a pedagogical review (2013, unknown): “Although there is beautiful recent progress in the quest for classical (meta)stable dS vacua with non-geometric fluxes [89], their uplift to extended geometry (in particular DFT) or the 10-dimensional geometric actions for non-geometric fluxes [65, 70] is still an open question.”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “Although this is not manifest in the above form, one can show that Q plays a natural role as (part of) a new connection ∇̃i for the winding derivatives [25], see also [34].”