Exceptional Form of D=11 Supergravity

Understand

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.