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Journal Article

E 9 exceptional field theory. Part II. The complete dynamics


Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Bossard, G., Ciceri, F., Inverso, G., Kleinschmidt, A., & Samtleben, H. (2021). E 9 exceptional field theory. Part II. The complete dynamics. Journal of High Energy Physics, 2021(05): 107. doi:10.1007/JHEP05(2021)107.

Cite as: https://hdl.handle.net/21.11116/0000-0008-345F-4
We construct the first complete exceptional field theory that is based on an
infinite-dimensional symmetry group. E$_9$ exceptional field theory provides a
unified description of eleven-dimensional and type IIB supergravity covariant
under the affine Kac-Moody symmetry of two-dimensional maximal supergravity. We
present two equivalent formulations of the dynamics, which both rely on a
pseudo-Lagrangian supplemented by a twisted self-duality equation. One
formulation involves a minimal set of fields and gauge symmetries, which
uniquely determine the entire dynamics. The other formulation extends
$\mathfrak{e}_9$ by half of the Virasoro algebra and makes direct contact with
the integrable structure of two-dimensional supergravity. Our results apply
directly to other affine Kac-Moody groups, such as the Geroch group of general