A master exceptional field theory - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2021

A master exceptional field theory

Axel Kleinschmidt
  • Fonction : Auteur
Ergin Sezgin
  • Fonction : Auteur

Résumé

We construct a pseudo-Lagrangian that is invariant under rigid E$_{11}$ and transforms as a density under E$_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E$_{11}$ exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E$_{11}$-representation together with the E$_{11}$ coset fields. We show that, in combination with gauge-invariant and E$_{11}$-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E$_{8}$ exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E$_{10}$ sigma model.

Dates et versions

hal-03197492 , version 1 (13-04-2021)

Identifiants

Citer

Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin. A master exceptional field theory. Journal of High Energy Physics, 2021, 06, pp.185. ⟨10.1007/JHEP06(2021)185⟩. ⟨hal-03197492⟩

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