Gauged double field theory

By M. Graña, D. Marqués. 2012

261 citations recorded by the source corpus.

A bstractWe find necessary and sufficient conditions for gauge invariance of the action of Double Field Theory (DFT) as well as closure of the algebra of gauge symmetries. The so-called weak and strong constraints are sufficient to satisfy them, but not necessary. We then analyze compactifications of DFT on twisted double tori satisfying the consistency conditions. The effective theory is a Gauged DFT where the gaugings come from the duality twists. The action, bracket, global symmetries, gauge symmetries and their closure are computed by twisting their analogs in the higher dimensional DFT. The non-Abelian heterotic string and lower dimensional gauged supergravities are particular examples of Gauged DFT.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/90ca237f1c6742774e282857e3e43d24fdfaf2e1

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Citations in the corpus

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.”
Duality Symmetric String and M-Theory (2013, methodology): “A breakthrough development was to consider compactification of the DFT with a ScherkSchwarz reduction see [190, 178, 191, 192, 193, 175, 187].”
Duality orbits of non‐geometric fluxes (2012, methodology): “Subsequently, an indication has been given that gauge consistency of DFT does not need the weak and strong constraints [9].”
Spheres, Generalised Parallelisability and Consistent Truncations (2014, methodology): “In addition, without assuming a consistent truncation, the relation between the frame algebra and the embedding tensor of the reduced theory has been identified [26, 23, 27, 28] both in conventional generalised geometry and in the language of Double Field Theory [18] and its M-theory extensions [29]”
Double field theory: a pedagogical review (2013, methodology): “There are however other solutions [65, 66, 34, 53, 54, 55, 30] in which the shape of the fields is restricted, but not the coordinate dependence, which can then be truly double.”
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].”
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].”
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.”
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): “gravity or strongly constrained DFT, whereas some gauged supergravity solutions in dimension D ě 7 have been shown to correspond to DFT solutions where the strong constraint is relaxed [23] (see also [18,19,24]). We believe, nevertheless, that the new action and ﬁeld variables considered in this pap”
Doubled α′-geometry (2013, background): “Double field theory formulations where the strong constraint is somewhat relaxed have been given for massive IIA supergravity in [29], for flux compactifications in [37, 38], and explored in some generality in [39, 40].”
Extended geometry and gauged maximal supergravity (2013, background): “In [4] it was shown that the section condition is sufficient for the gauge consistency of the theory, but not necessary.”
Exploring double field theory (2013, methodology): “For the Neveu-Schwarz sector, it was shown in [42–44] that closure of the algebra of generalized diffeomorphisms and gauge invariance of the action of DFT give rise to a set of constraints that are not in one to one correspondence with the strong constraint.”
Consistent Kaluza-Klein truncations via exceptional field theory (2014, methodology): “In the framework of double field theory [22–27], which makes the O(d, d) T-duality of string theory manifest, generalized Scherk-Schwarz-type compactifications of an extended spacetime have been discussed in [28–31], see also [32, 33] for reductions to deformations of double field theory.”