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Supersymmetric E7(7) Exceptional Field Theory

MPS-Authors
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Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Godazgar,  Mahdi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1406.3235v1.pdf
(Preprint), 551KB

JHEP2014_044.pdf
(Any fulltext), 987KB

Supplementary Material (public)
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Citation

Godazgar, H., Godazgar, M., Hohm, O., Nicolai, H., & Samtleben, H. (2014). Supersymmetric E7(7) Exceptional Field Theory. Journal of high energy physics: JHEP, 2014(09): 044. doi:10.1007/JHEP09(2014)044.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0019-B75D-0
Abstract
We give the supersymmetric extension of exceptional field theory for E7(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 E7(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.