Year: 2021
Type: article
Abstract: We construct the first complete exceptional field theory that is based on an infinite-dimensional symmetry group. E9 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.
Source: Journal of High Energy Physics
Authors: Guillaume Bossard, Franz Ciceri, Gianluca Inverso, Axel Kleinschmidt, Henning Samtleben
Institutions: Centre National de la Recherche Scientifique, Centre de Physique Théorique, Institut Polytechnique de Paris, Max Planck Institute for Gravitational Physics, Queen Mary University of London, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, International Solvay Institutes, École Normale Supérieure de Lyon, Laboratoire de Physique de l'ENS de Lyon
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3137507856