Exceptional field theory:
arXiv:1504.01523 · doi:10.1007/JHEP06(2015)088
Abstract
We construct Exceptional Field Theory for the group based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal supergravity. We present both a true action and a duality-invariant pseudo-action formulations. All the fields of the theory depend on the complete extended spacetime. The U-duality group is made a geometric symmetry of the theory by virtue of introducing the generalised Lie derivative that incorporates a local duality transformation. Tensor hierarchy appears as a natural consequence of the algebra of generalised Lie derivatives that are viewed as gauge transformations. Upon truncating different subsets of the extra coordinates, maximal supergravities in and (type IIB) can be recovered from this theory.
33 pages + Appendix
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