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07 February 2025
 
  » arxiv » 1605.0385

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A geometric formulation of exceptional field theory
Pascal du Bosque ; Falk Hassler ; Dieter Lust ; Emanuel Malek ;
Date 2 May 2016
AbstractWe 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 $mathrm{SL}(5) imesmathbb{R}^+$-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 $mathrm{SL}(5) imesmathbb{R}^+$-structure is not locally flat.
Source arXiv, 1605.0385
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