E11 and exceptional field theory

Abstract

We demonstrate that exceptional field theory is a truncation of the non-linear realisation of the semi-direct product of E11 and its first fundamental as proposed in 2003. Evaluating the simple equations of the E11 approach, and using the commutators of the E11 algebra, we find the equations of exceptional field theory after making a radical truncation. This procedure does not respect any of the higher level E11 symmetries and so these are lost. We suggest that the need for the section condition in exceptional field theory could be a consequence of the truncation.

39 pages

References in corpus (15)

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Cited by in corpus (9)

• The Geometry, Branes and Applications of Exceptional Field Theory
• Loops in exceptional field theory
• Beyond E11
• E11 must be a symmetry of strings and branes
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• On the different formulations of the E11 equations of motion
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• Finite Gauge Transformations and Geometry in Extended Field Theory
• An E11 invariant gauge fixing