A ten-dimensional action for non-geometric fluxes
By D. Andriot, Magdalena Larfors, D. Lust, Peter Patalong. 2011
212 citations recorded by the source corpus.
The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an anti symmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bcd1165a96532b20fc776f18012c929fd72f22fa
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Citations in the corpus
- Double field theory: a pedagogical review (2013, methodology): “Although there is beautiful recent progress in the quest for classical (meta)stable dS vacua with non-geometric fluxes [83], their uplift to extended geometry (in particular DFT) or the 10-dimensional geometric actions for non-geometric fluxes [64, 69] is still an open question.”
- Exploring double field theory (2013, methodology): “Other parameterizations and global frames are better to describe the dynamics of nongeometry [58–62].”
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, methodology): “Note that the plain equalities of this diagram were established in [7, 18, 19], and the dashed ones are obtained here.”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, result): “Thus, our results truncated to the NS sector fields upon dimensional reduction would correspond to the expressions for gaugings and non-geometric fluxes found in [11, 12, 13] and also [42, 43, 44].”
- 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 I: type II theories (2011, background): “Similar actions relevant to restrictions of eleven-dimensional supergravity to lower-dimensional manifolds are discussed in [30] and there are further related works in [31, 32, 33].”
- Non‐geometric fluxes in supergravity and double field theory (2012, methodology): “and, using the same assumptions, one can also check that the total derivative term matches the one in [4].”
- Large gauge transformations in double field theory (2012, background): “Earlier important work can be found in [5–7] and further developments have been discussed in [8–35].”
- The effective action of double field theory (2011, methodology): “Inspired by this approach, a way to obtain the usual contribution of the locally geometric Q-flux [23] to the four-dimensional effective action, from a ten dimensional one, was recently proposed in [24].”
- Double Field Theory and N=4 Gauged Supergravity (2011, background): “An Ansatz for the doubled vielbein, that is manifestly an O(n, n) matrix and trivially satisfying the strong constraint, can be introduced (see also [42]) EA N = ( ea (y) ea (y)Bmn(y) 0 en(y) )”