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E 9 exceptional field theory. Part II. The complete dynamics

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  • Published: 13 May 2021
  • Volume 2021, article number 107, (2021)
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E 9 exceptional field theory. Part II. The complete dynamics
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  • Guillaume Bossard1,
  • Franz Ciceri2,
  • Gianluca Inverso3,4,
  • Axel Kleinschmidt2,5 &
  • …
  • Henning Samtleben6 

  • 555 Accesses

  • 21 Citations

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A preprint version of the article is available at arXiv.

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 \( {\mathfrak{e}}_9 \) 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.

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, Institut Polytechnique de Paris, FR-91128, Palaiseau cedex, France

    Guillaume Bossard

  2. Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, DE-14476, Potsdam, Germany

    Franz Ciceri & Axel Kleinschmidt

  3. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, 327 Mile End Road, London, E1 4NS, United Kingdom

    Gianluca Inverso

  4. INFN, Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy

    Gianluca Inverso

  5. International Solvay Institutes, ULB-Campus Plaine CP231, BE-1050, Brussels, Belgium

    Axel Kleinschmidt

  6. Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, FR-69342, Lyon, France

    Henning Samtleben

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  1. Guillaume Bossard
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  2. Franz Ciceri
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  3. Gianluca Inverso
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  5. Henning Samtleben
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Correspondence to Guillaume Bossard.

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Bossard, G., Ciceri, F., Inverso, G. et al. E 9 exceptional field theory. Part II. The complete dynamics. J. High Energ. Phys. 2021, 107 (2021). https://doi.org/10.1007/JHEP05(2021)107

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  • Received: 02 April 2021

  • Accepted: 15 April 2021

  • Published: 13 May 2021

  • DOI: https://doi.org/10.1007/JHEP05(2021)107

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Keywords

  • Gauge Symmetry
  • Supersymmetry and Duality
  • Extended Supersymmetry
  • Supergravity Models
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