Abstract
We consider a non trivial solution to the section condition in the context of ℝ+ ×E3(3) exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal space permits to describe the monodromies of (p, q) 7-branes in the context of F-theory. General expressions of non trivial fluxes with associated linear and quadratic constraints are obtained via a comparison to the embedding tensor of eight dimensional gauged maximal supergravity with gauged trombone symmetry. We write an explicit generalised Christoffel symbol for E3(3) EFT and show that the equations of motion of F-theory, namely the vanishing of a 4 dimensional Ricci tensor with two of its dimensions fibered, can be obtained from a generalised Ricci tensor and an appropriate type IIB ansatz for the metric.
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Chabrol, L. Geometry of ℝ+ × E3(3) exceptional field theory and F-theory. J. High Energ. Phys. 2019, 73 (2019). https://doi.org/10.1007/JHEP08(2019)073
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DOI: https://doi.org/10.1007/JHEP08(2019)073