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E11, generalised space-time and equations of motion in four dimensions

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arxiv 1206.7045 v1 pith:ADO6GI7G submitted 2012-06-29 hep-th

classification hep-th
keywords fieldsspace-timeequationsfourdimensionalfirstgeneralisedmotion
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We construct the non-linear realisation of the semi-direct product of E11 and its first fundamental representation at low levels in four dimensions. We include the fields for gravity, the scalars and the gauge fields as well as the duals of these fields. The generalised space-time, upon which the fields depend, consists of the usual coordinates of four dimensional space-time and Lorentz scalar coordinates which belong to the 56-dimensional representation of E7. We demand that the equations of motion are first order in derivatives of the generalised space-time and then show that they are essentially uniquely determined by the properties of the E11 Kac-Moody algebra and its first fundamental representation. The two lowest equations correctly describe the equations of motion of the scalars and the gauge fields once one takes the fields to depend only on the usual four dimensional space-time.

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  1. Local symmetry and extended spacetime

    hep-th 2025-04 conditional novelty 6.0 of 10

    A constraint on the gauge parameters of E theory is proposed that closes the algebra of local transformations; in the IIA level-zero sector it differs from the section conditions of double field theory.

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