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Title: A master exceptional field theory
A bstract 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.  more » « less
Award ID(s):
1820921
PAR ID:
10273888
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2021
Issue:
6
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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