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High Energy Physics - Theory, hep-th
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.
