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arXiv · 1811.04088

E$_9$ exceptional field theory I. The potential

Guillaume Bossard·Franz Ciceri·Gianluca Inverso·Axel Kleinschmidt·Henning Samtleben
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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.

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Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Henning Samtleben. 2018-11-09. E$_9$ exceptional field theory I. The potential. https://doi.org/10.1007/jhep03(2019)089

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