Exceptional field theory. II. E$_{7(7)}$

By O. Hohm, H. Samtleben. 2013

241 citations recorded by the source corpus.

We introduce the exceptional field theory for the group E 7 ( 7 ) , based on a ( 4 + 56 ) -dimensional spacetime subject to a covariant section condition. The “internal” generalized diffeomorphisms of the coordinates in the fundamental representation of E 7 ( 7 ) are governed by a covariant “E-bracket,” which is gauged by 56 vector fields. We construct the complete and unique set of field equations that is gauge invariant under generalized diffeomorphisms in the internal and external coordinates. Among them are featured the non-Abelian twisted self-duality equations for the 56 gauge vectors. We discuss the explicit solutions of the section condition describing the embedding of the full, untruncated 11-dimensional and type IIB supergravity, respectively. As a new feature compared to the previously constructed E 6 ( 6 ) formulation, some components among the 56 gauge vectors descend from the 11-dimensional dual graviton but nevertheless allow for a consistent coupling by virtue of a covariantly constrained compensating 2-form gauge field.

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

View Paper: https://www.semanticscholar.org/paper/ce4819e97684b0101a3131e1b1137b0f2a514f3a

How researchers see this paper

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In Astronomy and Astrophysics

1. Mario Trigiante
2. H. Samtleben
3. O. Hohm
4. B. Wit
5. D. Marqués
6. David S. Berman
7. D. Thompson
8. David Geissbühler

In Nuclear and High Energy Physics

1. Mario Trigiante
2. H. Samtleben
3. O. Hohm
4. D. Marqués
5. G. Aldazabal
6. B. Wit
7. C. Nuñez
8. David Geissbühler

In Statistical and Nonlinear Physics

1. H. Samtleben
2. Mario Trigiante
3. O. Hohm
4. D. Marqués
5. B. Wit
6. G. Aldazabal
7. B. Zwiebach
8. C. Nuñez

Citations in the corpus

• Gauged Supergravities. (2016, background): “A different construction is that of exceptional field theory [103, 104, 105], in which the extension of the tangent space results from an enlargement of the whole space-time, now spanned by the D-dimensional space-time coordinates x and by a new set of internal coordinates Y in the representation Rv”
• Consistent Kaluza-Klein truncations via exceptional field theory (2014, background): “Their presence is necessary for consistency of the hierarchy of non-abelian gauge transformations and can be inferred directly from the properties of the Jacobiator of generalized diffeomorphisms [46].”