Exceptional field theory: $SO(5,5)$

Abstract

We construct Exceptional Field Theory for the group $SO(5,5)$ based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal $D=6$ 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 $SO(5,5)$ 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 $D=11$ and $D=10$ (type IIB) can be recovered from this theory.

33 pages + Appendix

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• The Geometry, Branes and Applications of Exceptional Field Theory
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• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• The Exceptional Sigma Model
• Weaving the Exotic Web
• Non-abelian tri-vector deformations in d=11 supergravity
• Leibniz Gauge Theories and Infinity Structures
• Superstring in doubled superspace
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• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Generalized Parallelizable Spaces from Exceptional Field Theory
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• On non-abelian U-duality of 11D backgrounds
• Exceptional M-brane sigma models and $\eta$-symbols
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• Type II strings are Exceptional
• Open exceptional strings and D-branes
• Maximal D=2 supergravities from higher dimensions
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