Supersymmetric E[subscript 7(7)] exceptional field theory

• Main Authors: Godazgar, Hadi (Author), Godazgar, Mahdi (Author), Hohm, Olaf (Contributor), Nicolai, Hermann (Author), Samtleben, Henning (Author)
• Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Laboratory for Nuclear Science (Contributor)
• Format: Article
• Language: English
• Published: Springer-Verlag, 2014-11-03T14:19:33Z.
• Subjects: Article
• Online Access: Get fulltext

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.
United States. Dept. of Energy (Cooperative Research Agreement DE-FG02-05ER41360)
German Science Foundation (Heisenberg Fellowship)