Duality Invariant Actions and Generalised Geometry

Details Duality Invariant Actions and Generalised Geometry Duality Invariant Actions and Generalised Geometry

2011-11-02

arxiv.org/abs/1111.0459v2

Physics

High Energy Physics

High Energy Physics - Theory

59 pages (typos fixed and added comments)

Scientific paper

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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