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E 9 exceptional field theory. Part II. The complete dynamics
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Journal Article
E 9 exceptional field theory. Part II. The complete dynamics
2021
Overview
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$$ {\\mathfrak{e}}_9 $$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 relativity.
Publisher
SpringerOpen
