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

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 Weitzenböck connection of the $\mathrm{SL}(5)$ 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 $\mathrm{SL}(5)$ 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.

38 pages + Appendix

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Cited by in corpus (18)

• Non-geometric backgrounds in string theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• E${}_9$ exceptional field theory I. The potential
• Non-Riemannian geometry of M-theory
• E${}_9$ exceptional field theory II. The complete dynamics
• Weaving the Exotic Web
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• A unified approach to standard and exotic dualizations through graded geometry
• The different faces of branes in Double Field Theory
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Exotic Branes from del Pezzo Surfaces
• Reductions of Exceptional Field Theories
• World-volume Effective Theories of Locally Non-geometric Branes
• Gauge field fluxes and Bianchi identities in extended field theories
• Brane bound states, deformations and OM