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

TL;DR

This paper explores how exotic branes with high tension scaling are represented within SL(5) Exceptional Field Theory, revealing their classification via generalized torsion and their relation through U-duality transformations.

Contribution

It demonstrates the classification of exotic branes in SL(5) EFT using generalized torsion and analyzes their U-duality orbits, including the rotation of a KK monopole into an exotic brane.

Findings

Exotic branes are classified by the generalized torsion in SL(5) EFT.

U-duality relates geometric and non-geometric fluxes in the context of exotic branes.

The formalism allows rotating known solutions into exotic branes, exemplified by the KK monopole.

Abstract

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. As a further application of the formalism we consider the Kaluza-Klein monopole of 11D supergravity and rotate it into the exotic $6^{(3,1)}$-brane.