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Exotic branes in Exceptional Field Theory: the SL(5) duality group · Around

2017

Exotic branes in Exceptional Field Theory: the SL(5) duality group

Bakhmatov, Ilya, Berman, David, Kleinschmidt, Axel et al.

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We study how exotic branes, i.e.

branes whose tensions are proportional to $g_s^{-\alpha}$, with $\alpha>2$, are realised in Exceptional Field Theory (EFT).
The generalised torsion of the Weitzenb\"ock connection of the $\operatorname{SL}(5)$ EFT which, in the language of gauged supergravity describes the embedding tensor, is shown to classify the exotic branes whose magnetic fluxes can fit into four internal dimensions.
By analysing the weight diagrams of the corresponding representations of $\operatorname{SL}(5)$ we determine the U-duality orbits relating geometric and non-geometric fluxes.

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