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

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 th...

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Main Authors: Godazgar, Hadi, Godazgar, Mahdi, Hohm, Olaf, Nicolai, Hermann, Samtleben, Henning
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:en_US
Published: Springer-Verlag 2014
Online Access:http://hdl.handle.net/1721.1/91259
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author Godazgar, Hadi
Godazgar, Mahdi
Hohm, Olaf
Nicolai, Hermann
Samtleben, Henning
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Godazgar, Hadi
Godazgar, Mahdi
Hohm, Olaf
Nicolai, Hermann
Samtleben, Henning
author_sort Godazgar, Hadi
collection MIT
description 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.
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spelling mit-1721.1/912592022-10-03T11:24:09Z Supersymmetric E[subscript 7(7)] exceptional field theory Godazgar, Hadi Godazgar, Mahdi Hohm, Olaf Nicolai, Hermann Samtleben, Henning Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Hohm, Olaf 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) 2014-11-03T14:19:33Z 2014-11-03T14:19:33Z 2014-09 2014-07 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/91259 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). en_US http://dx.doi.org/10.1007/jhep09(2014)044 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag
spellingShingle Godazgar, Hadi
Godazgar, Mahdi
Hohm, Olaf
Nicolai, Hermann
Samtleben, Henning
Supersymmetric E[subscript 7(7)] exceptional field theory
title Supersymmetric E[subscript 7(7)] exceptional field theory
title_full Supersymmetric E[subscript 7(7)] exceptional field theory
title_fullStr Supersymmetric E[subscript 7(7)] exceptional field theory
title_full_unstemmed Supersymmetric E[subscript 7(7)] exceptional field theory
title_short Supersymmetric E[subscript 7(7)] exceptional field theory
title_sort supersymmetric e subscript 7 7 exceptional field theory
url http://hdl.handle.net/1721.1/91259
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