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Résumé |
I will briefly review Kac-Mooody algebras and non-linear realisations.
I will show that the non-linear realisation constructed from $E_{11}$
and its vector representations leads to a set of $E_{11}$ invariant
equations of motion that contain and infinite number of fields which
live on an infintie dimensional spacetime. However, if one keeps only
the low level fields and coordinates one finds a set of equations,
which are essentially unique, and are precidely those of eleven
dimensional supergravity. I will explain that the non-linear
realisation is a unified theory in that it contains all the maximal
supergravities in all diemnsions and also all the gauged
supergravities. |
