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Bosque, Pascal du; Hassler, Falk; Lüst, Dieter and Malek, Emanuel (2017): A geometric formulation of exceptional field theory. In: Journal of High Energy Physics, No. 3, 4

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Abstract

We formulate the full bosonic SL(5) exceptional field theory in a coordinate invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with SL(5) x R (vertical bar) -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) x R+ -structure is not locally flat.

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