Exceptional field theory. III. E[subscript 8(8)]
Name
PhysRevD.90.066002.pdf
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274.89 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Hohm, Olaf
Samtleben, Henning
Date Issued
September 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Hohm, Olaf, and Henning Samtleben. "Exceptional field theory. III. E[subscript 8(8)]." Phys. Rev. D 90, 066002 (September 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We develop exceptional field theory for E[subscript 8(8)], defined on a (3 + 248)-dimensional generalized spacetime with extended coordinates in the adjoint representation of E[subscript 8(8)]. The fields transform under E[subscript 8(8)] generalized diffeomorphisms and are subject to covariant section constraints. The bosonic fields include an “internal” dreibein and an E[subscript 8(8)]-valued “zweihundertachtundvierzigbein” (248-bein). Crucially, the theory also features gauge vectors for the E[subscript 8(8)] E bracket governing the generalized diffeomorphism algebra and covariantly constrained gauge vectors for a separate but constrained E[subscript 8(8)] gauge symmetry. The complete bosonic theory, with a novel Chern-Simons term for the gauge vectors, is uniquely determined by gauge invariance under internal and external generalized diffeomorphisms. The theory consistently comprises components of the dual graviton encoded in the 248-bein. Upon picking particular solutions of the constraints the theory reduces to D = 11 or type IIB supergravity, for which the dual graviton becomes pure gauge. This resolves the dual graviton problem, as we discuss in detail.
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/10.1103/PhysRevD.90.066002
