Exceptional Form of D=11 Supergravity

Abstract

Eleven-dimensional supergravity reveals large exceptional symmetries upon reduction, in accordance with the U-duality groups of M-theory, but their higher-dimensional geometric origin has remained a mystery. In this letter, we show that D=11 supergravity can be extended to be fully covariant under the exceptional groups E_{n(n)}, n=6,7,8. Motivated by a similar formulation of double field theory we introduce an extended `exceptional spacetime'. We illustrate the construction by giving the explicit E_{6(6)} covariant form: the full D=11 supergravity, in a 5+6 splitting of coordinates but without truncation, embeds into an E_{6(6)} covariant 5+27 dimensional theory. We argue that this covariant form likewise comprises type IIB supergravity.

5 pages, v2: typos in eqs. (18), (21) corrected; minor changes; to appear in Physical Review Letters

References in corpus (6)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• The maximal D=4 supergravities
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Gauge theory of Kaluza-Klein and winding modes
• U-duality covariant gravity

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