Generalized Parallelizable Spaces from Exceptional Field Theory

Understand

Generalized parallelizable spaces allow a unified treatment of consistent maximally supersymmetric truncations of ten- and eleven-dimensional supergravity in generalized geometry.

• Known examples are spheres, twisted tori and hyperboloides.
• They admit a generalized frame field over the coset space $M$=$G/H$ which reproduces the Lie algebra $\mathfrak{g}$ of $G$ under the generalized Lie derivative.
• An open problem is a systematic construction of these spaces and especially their generalized frames fields.