E_9 exceptional field theory I. The potential

Bossard, Guillaume; Ciceri, Franz; Inverso, Gianluca; Kleinschmidt, Axel; Samtleben, Henning

doi:10.1007/JHEP03(2019)089

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E_9 exceptional field theory I. The potential

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

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Citation

Bossard, G., Ciceri, F., Inverso, G., Kleinschmidt, A., & Samtleben, H. (2019). E_9 exceptional field theory I. The potential. Journal of High Energy Physics, 2019(3): 89. doi:10.1007/JHEP03(2019)089.

Cite as: https://hdl.handle.net/21.11116/0000-0002-82B0-3

Abstract

We construct the scalar potential for the exceptional field theory based on
the affine symmetry group E$_9$. The fields appearing in this potential live
formally on an infinite-dimensional extended spacetime and transform under
E$_9$ generalised diffeomorphisms. In addition to the scalar fields expected
from D=2 maximal supergravity, the invariance of the potential requires the
introduction of new constrained scalar fields. Other essential ingredients in
the construction include the Virasoro algebra and indecomposable
representations of E$_9$. Upon solving the section constraint, the potential
reproduces the dynamics of either eleven-dimensional or type IIB supergravity
in the presence of two isometries.