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E11 in 11D

2016/01/31 by Alexander G. Tumanov, Peter West · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2016.04.058

13 pages. the l1 terms in equation (4.26) corrected. One sentence added to the conclusion. arXiv admin note: text overlap with arXiv:1512.01644

arxiv created 2016/02/19 · arxiv updated 2016/06/22

Abstract

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low levels. These equations are completely determined by the non-linear realisation and when restricted to contain only the usual fields of supergravity and the usual space-time we find precisely the equations of motion of eleven dimensional supergravity. This paper extends the results announced in arXiv:1512.01644 and in particular it contains the contributions to the equations of motion that involve derivatives with respect to the level one generalised coordinates.

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