Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions
By David S. Berman, E. Musaev, D. Thompson. 2012
177 citations recorded by the source corpus.
A bstractWe consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric compactifications. The local symmetry reduces to gauge transformations with the gaugings exactly matching those of the embedding tensor approach to gauged supergravity. Importantly, this approach now includes a nontrivial dependence of the fields on the extra coordinates of the extended space.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d41f8811799e152fb553d0f63c0a49eb04e871a3
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Citations in the corpus
- Extended geometry and gauged maximal supergravity (2013, background): “∆[12]3 M = [Lξ1,Lξ2 ]ξ 3 − L[[ξ1,ξ2]]ξ 3 (3.”
- The gauge structure of generalised diffeomorphisms (2012, unknown): “[40–45].”
- Duality Symmetric String and M-Theory (2013, methodology): “We now consider the Scherk-Schwarz reduction ansatz in the SL(5) U-duality invariant theory and its comparison to the seven-dimensional gauged supergravities introduced above [262].”
- Double field theory: a pedagogical review (2013, background): “The case n = 4 was studied in [53] in the context of gauged supergravities, and a geometry for it was considered in [49].”
- Consistent Kaluza-Klein truncations via exceptional field theory (2014, methodology): “J H E P 0 1 ( 2 0 1 5 ) 1 3 1 some detail [34, 40, 42, 60].”
- Exotic Branes in String Theory (2012, result): “However, more recently, it was shown [129–132] (see also [9,133,134]) that one can generalize DFT in a way such that its non-geometric Scherk–Schwarz compactification reproduces the constraint equations in the low dimensional theory expected for non-geometric compactifications.”
- Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, background): “There are many precursors and related approaches to the geometrical reformulation discussed here [12–21], as well as several, more recent, papers that have developed or applied ideas of exceptional generalised geometry [22–32].”
- Exploring double field theory (2013, background): “ to require an extension of the generalized diffeomorphisms. There is by now plenty of evidence that the strong constraint or section condition can be relaxed in duality covariant frameworks [15],[19],[18],[10],[26]. Transcending supergravity, this opens the door to seek for new truly double solution”
- Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “Equally it is know that certain supergravities, which don’t have a higher dimensional origin in the conventional geometric sense, can be obtained by reduction in the T/U-duality symmetric generalised geometry [72, 73].”