A geometric formulation of exceptional field theory

Abstract

We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times {\mathbb{R}}^{+}$-structure. We show that the algebra of generalised diffeomorphisms closes subject to a set of closure constraints which are reminiscent of the quadratic and linear constraints of maximal seven-dimensional gauged supergravities, as well as the section condition. We construct an action for the full bosonic SL(5) exceptional field theory, even when the $\mathrm{SL}(5)\times {\mathbb{R}}^{+}$-structure is not locally flat.

46 pages

References in corpus (16)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged Double Field Theory
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Supergravities without an Action: Gauging the Trombone
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Finite Gauge Transformations and Geometry in Double Field Theory
• The exceptional story of massive IIA supergravity
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• T-duality and non-geometric solutions from double geometry
• The exceptional generalised geometry of supersymmetric AdS flux backgrounds
• A note on large gauge transformations in double field theory

Cited by in corpus (8)

• Gauged Supergravities
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• The Geometry, Branes and Applications of Exceptional Field Theory
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Generalized Parallelizable Spaces from Exceptional Field Theory
• Locally non-geometric fluxes and missing momenta in M-theory
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models