Abstract
We formulate the full bosonic SL(5) exceptional field theory in a coordinateinvariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with SL(5) × ℝ +-structure. We show that the algebra of generalised diffeomorphisms closes subject to a set of closure constraints which are reminiscent of the quadratic and linear constraints of maximal seven-dimensional gauged supergravities, as well as the section condition. We construct an action for the full bosonic SL(5) exceptional field theory, even when the SL(5) × ℝ +-structure is not locally flat.
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du Bosque, P., Hassler, F., Lüst, D. et al. A geometric formulation of exceptional field theory. J. High Energ. Phys. 2017, 4 (2017). https://doi.org/10.1007/JHEP03(2017)004
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DOI: https://doi.org/10.1007/JHEP03(2017)004