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arxiv: 1111.0459 · v2 · pith:5YA5R6UMnew · submitted 2011-11-02 · ✦ hep-th

Duality Invariant Actions and Generalised Geometry

classification ✦ hep-th
keywords generaliseddualityconstructgroupsinvariantnon-linearrealisationspace
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We construct the non-linear realisation of the semi-direct product of E(11) and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven. This leads to a non-linear realisation of the duality groups and introduces fields that depend on a generalised space which possess a generalised vielbein. We focus on the part of the generalised space on which the duality groups alone act and construct an invariant action.

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