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E 9 exceptional field theory. Part I. The potential

par Bossard, Guillaume G.B.;Ciceri, Franz;Inverso, Gianluca;Kleinschmidt, Axel ;Samtleben, Henning
Référence The Journal of high energy physics, 2019, 3, 89
Publication Publié, 2019-03

Article révisé par les pairs

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Résumé :

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.