Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-07
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, Trivial typos corrected in version one and a substantial note added which gives the equation of motion relating the
Scientific paper
We construct the non-linear realisation of E11 and its first fundamental representation in eleven dimensions at low levels. The fields depend on the usual coordinates of space-time as well as two form and five form coordinates. We derive the terms in the dynamics that contain the three form and six form fields and show that when we restricted their field dependence to be only on the usual space-time we recover the correct self-duality relation. Should this result generalise to the gravity fields then the non-linear realisation is an extension of the maximal supergravity theory, as previously conjectured. We also comment on the connections between the different approaches to generalised geometry.
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