Abstract
We study how exotic branes, i.e. branes whose tensions are proportional to gs− α, with α > 2, are realised in Exceptional Field Theory (EFT). The generalised torsion of the Weitzenböck connection of the 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 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.
Highlights
27 M2, M5 56 M2, M5, KK6 248 M2, M5, KK6, Exotic correspond to the usual Riemannian coordinates of spacetime, whilst the other dim Rn − n coordinates correspond to wrapping modes of the extended objects of M-theory, i.e. M2, M5-branes, KK-monopole etc
We study how exotic branes, i.e. branes whose tensions are proportional to gs−α, with α > 2, are realised in Exceptional Field Theory (EFT)
In both Double Field Theory (DFT) and EFT, the geometry of the extended space becomes closely tied to the duality group through the local symmetries of the theory and the EFT action is invariant under the so-called generalised Lie derivative which is described in terms of the projector P to the adjoint representation of the duality group as δΛV M = LΛV M = ΛN ∂N V M + αnPM N K L∂K ΛLV N + λn∂N ΛN V M, (1.1)
Summary
27 M2, M5 56 M2, M5, KK6 248 M2, M5, KK6, Exotic correspond to the usual Riemannian coordinates of spacetime, whilst the other dim Rn − n coordinates correspond to wrapping modes of the extended objects of M-theory, i.e. M2-, M5-branes, KK-monopole etc. This coordinate representation Rn differs for each group En(n) and depends on the field content of the resulting theory [10, 11]. 11 − D is the number of internal directions that is being extended, PK is the projector onto the adjoint representation of the corresponding duality group and satisfies
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