Double Field Theory and N=4 Gauged Supergravity
By David Geissbühler. 2011
224 citations recorded by the source corpus.
Double Field Theory describes the NS-NS sector of string theory and lives on a doubled spacetime. The theory has a local gauge symmetry generated by a generalization of the Lie derivative for doubled coordinates. For the action to be invariant under this symmetry, a differential constraint is imposed on the fields and gauge parameters, reducing their possible dependence in the doubled coordinates. We perform a Scherk-Schwarz reduction of Double Field Theory, yielding electric gaugings of half-maximal supergravity in four dimensions when integrability conditions are assumed. The residual symmetries of the compactified theory are mapped with the symmetries of the effective theory and the differential constraints of Double Field Theory are compared with the algebraic conditions on the embedding tensor. It is found that only a weaker form of the differential constraint has to be imposed on background fields to ensure the local gauge symmetry of the reduced action.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/607fa121f0b5007c9f76ed6a4118ee66967d7356
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Citations in the corpus
- β-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework (2013, background): “The work of [27, 65, 66, 32] starts with a generic generalized vielbein in DFT.”
- Non‐geometric fluxes in supergravity and double field theory (2012, background): “We have restricted our analysis to supergravity or strongly constrained DFT, whereas some lower-dimensional gravities have been shown to correspond to situations where the strong constraint is relaxed [23] (see also [18, 19, 24]).”
- Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012, methodology): “Describing the properties of these manifolds will be an interesting direction for future study – in [47] recent progress in this direction has been made in understanding how to “exponentiate” the local symmetries for the O(d, d) case relevant to DFT.”
- Double field theory: a pedagogical review (2013, unknown): “This and the following sections are mostly based on [65, 66, 34].”
- Consistent Kaluza-Klein truncations via exceptional field theory (2014, methodology): “In this section we first review the generalized Scherk-Schwarz ansatz of [16, 29, 30, 32, 34, 36].”
- Duality orbits of non‐geometric fluxes (2012, methodology): “Recently it has been pointed out how to obtain gaugings of N = D = 4 supergravity by means of twisted double torus reductions of DFT [7,8], even though at that stage, the so-called weak and strong constraints imposed for consistency of DFT represented a further restriction that prevented one from de”
- The spacetime of double field theory: Review, remarks, and outlook (2013, background): “It is a subtle question whether the constraint can be relaxed for the massless fields only (or to zeroth order in α′) or for different backgrounds, but there has been progress exhibiting relaxed constraints in massive deformations of type IIA [20], generalized Scherk-Schwarz compactifications [21,22”
- Doubled α′-geometry (2013, background): “Double field theory formulations where the strong constraint is somewhat relaxed have been given for massive IIA supergravity in [28], for flux compactifications in [35], and explored in some generality in [36, 37].”
- Duality Symmetric String and M-Theory (2013, methodology): “Ignoring the fA gaugings (details of which can be found in [175]) this correction is of the form R f = − 1 2 f BCȞȞ∂DȞAE − 1 12 f A BC f D EFȞADȞȞ − 1 4 f BC f B ADȞ , (4.”