E11 in 11D

Abstract

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low levels. These equations are completely determined by the non-linear realisation and when restricted to contain only the usual fields of supergravity and the usual space-time we find precisely the equations of motion of eleven dimensional supergravity. This paper extends the results announced in arXiv:1512.01644 and in particular it contains the contributions to the equations of motion that involve derivatives with respect to the level one generalised coordinates.

arXiv comment13 pages. the l1 terms in equation (4.26) corrected. One sentence added to the conclusion. arXiv admin note: text overlap with arXiv:1512.01644

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Cited by in corpus (35)

• The Geometry, Branes and Applications of Exceptional Field Theory
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• A master exceptional field theory
• On supersymmetric E11 exceptional field theory
• E${}_9$ exceptional field theory II. The complete dynamics
• E11 must be a symmetry of strings and branes
• Weaving the Exotic Web
• A brief review of E theory
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Twisted self-duality for higher spin gauge fields and prepotentials
• E11, Romans theory and higher level duality relations
• Maximal D=2 supergravities from higher dimensions
• The non-linear dual gravity equation of motion in eleven dimensions
• E11 and the non-linear dual graviton
• On the different formulations of the E11 equations of motion
• Irreducible representations of E theory
• E11, Brane Dynamics and Duality Symmetries
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• The different faces of branes in Double Field Theory
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Gravity, Dual Gravity and A1+++
• An E11 invariant gauge fixing
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Spacetime and large local transformations
• E theory in seven dimensions
• Unfolding $E_{11}$
• A sketch of brane dynamics in seven and eight dimension using E theory
• Current Algebra Formulation of M-theory based on E11 Kac-Moody Algebra
• Exceptional Periodicity and Magic Star Algebras. II : Gradings and HT-Algebras
• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory
• Exotic Aspects of Extended Field Theories
• Kac-Moody algebras and the cosmological constant
• The string little algebra