Exceptional field theory. III. E8(8)

By O. Hohm, H. Samtleben. 2014

220 citations recorded by the source corpus.

We develop exceptional field theory for E8p8q, defined on a (3+248)-dimensional gener- alized spacetime with extended coordinates in the adjoint representation of E8p8q. The fields transform under E 8p8q generalized diffeomorphisms and are subject to covariant section constraints. The bosonic fields include an 'internal' dreibein and an E8p8q-valued 'zweihundertachtundvierzigbein' (248-bein). Crucially, the theory also features gauge vectors for the E8p8q E-bracket governing the generalized diffeomorphism algebra and covariantly constrained gauge vectors for a separate but constrained E8p8q gauge sym- metry. The complete bosonic theory, with a novel Chern-Simons term for the gauge vectors, is uniquely determined by gauge invariance under internal and external gen- eralized 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/eb35640d235e6c736eb687266ac6e7649a42f195