Consistent Kaluza-Klein truncations via exceptional field theory
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Hohm-2015-Consistent Kaluza-Kl.pdf
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Author(s)
Hohm, Olaf
Samtleben, Henning
Date Issued
January 2015
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Hohm, Olaf, and Henning Samtleben. “Consistent Kaluza-Klein Truncations via Exceptional Field Theory.” J. High Energ. Phys. 2015, no. 1 (January 2015).
Version
Final published version
Abstract
We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional field theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the field equations precisely reduce to those of lower-dimensional gauged supergravity parametrized by an embedding tensor. We explicitly construct a family of twist matrices as solutions of the consistency equations. They induce gauged supergravities with gauge groups SO(p, q) and CSO(p, q, r). Geometrically, they describe compactifications on internal spaces given by spheres and (warped) hyperboloides H [superscript p,q], thus extending the applicability of generalized Scherk-Schwarz reductions beyond homogeneous spaces. Together with the dictionary that relates exceptional field theory to D = 11 and IIB supergravity, respectively, the construction defines an entire new family of consistent truncations of the original theories. These include not only compactifications on spheres of different dimensions (such as AdS[subscript 5] × S [superscript 5]), but also various hyperboloid compactifications giving rise to a higher-dimensional embedding of supergravities with non-compact and non-semisimple gauge groups.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1007/jhep01(2015)131
