Supersymmetric E[subscript 7(7)] exceptional field theory
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Godazgar-2014-Supersymmetric E-7(7.pdf
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Author(s) • • • •
Godazgar, Hadi
Godazgar, Mahdi
Hohm, Olaf
Nicolai, Hermann
Samtleben, Henning
Date Issued
September 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Godazgar, Hadi, Mahdi Godazgar, Olaf Hohm, Hermann Nicolai, and Henning Samtleben. “Supersymmetric E[subscript 7(7)] Exceptional Field Theory.” J. High Energ. Phys. 2014, no. 9 (September 2014).
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Final published version
Abstract
We give the supersymmetric extension of exceptional field theory for E[subscript 7(7)], which is based on a (4 + 56)-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group SO(1, 3) × SU(8) and transform as scalar densities under the E[subscript 7(7)] (internal) generalized diffeomorphisms. The supersymmetry transformations are manifestly covariant under these symmetries and close, in particular, into the generalized diffeomorphisms of the 56-dimensional space. We give the fermionic field equations and prove supersymmetric invariance. We establish the consistency of these results with the recently constructed generalized geometric formulation of D = 11 supergravity.
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/jhep09(2014)044