1,342 research outputs found
Fermions and Supersymmetry in Exceptional Field Theory
We construct the supersymmetric completion of E-covariant
exceptional field theory. The theory is based on a -dimensional
generalized space-time subject to a covariant section constraint. The fermions
are tensors under the local Lorentz group
and transform as weighted scalars under the E (internal) generalized
diffeomorphisms. We present the complete Lagrangian and prove its invariance
under supersymmetry. Upon explicit solution of the section constraint the
theory embeds full supergravity and IIB supergravity, respectively.Comment: 23 pages + Appendi
Classical Yang-Baxter equation from beta-supergravity
Yang-Baxter deformations of superstring sigma-models have recently inspired a
supergravity solution generating technique. Using the open/closed string map
and a Killing bi-vector as a deformation parameter, new solutions can be built,
such that the (generalised) supergravity field equations were conjectured to
always reduce to the classical Yang-Baxter equation (CYBE). In this work we
provide a proof of this conjecture, using a systematic approach based on the
so-called -supergravity, which is a dynamical theory for the field
instead of the NSNS 2-form .Comment: 19 pages; v2: references updated; v3: published versio
Exceptional field theory:
We construct Exceptional Field Theory for the group based on the
extended (6+16)-dimensional spacetime, which after reduction gives the maximal
supergravity. We present both a true action and a duality-invariant
pseudo-action formulations. All the fields of the theory depend on the complete
extended spacetime. The U-duality group is made a geometric symmetry
of the theory by virtue of introducing the generalised Lie derivative that
incorporates a local duality transformation. Tensor hierarchy appears as a
natural consequence of the algebra of generalised Lie derivatives that are
viewed as gauge transformations. Upon truncating different subsets of the extra
coordinates, maximal supergravities in and (type IIB) can be
recovered from this theory.Comment: 33 pages + Appendi
Non-geometric branes are DFT monopoles
The double field theory monopole solution by Berman and Rudolph is shown to
reproduce non-geometric backgrounds with non-vanishing Q- and R-flux upon an
appropriate choice of physical and dual coordinates. The obtained backgrounds
depend non-trivially on dual coordinates and have only trivial monodromies.
Upon smearing the solutions along the dual coordinates one reproduces the known
solution for the Q-brane and co-dimension 1 solution for the R-brane.
The T-duality invariant magnetic charge is explicitly calculated for all these
backgrounds and is found to be equal to the magnetic charge of (unsmeared)
NS5-brane.Comment: 26 pages and appendi
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