E11 must be a symmetry of strings and branes

Abstract

We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in five and eleven dimensions and find the dynamical equations it predicts at low levels. Restricting these results to contain only the usual fields of supergravity and the generalised space-time to be the usual space-time we find the equations of motion of the five and eleven dimensional maximal supergravity theories. Since this non-linear realisation contains effects that are beyond the supergravity approximation and are thought to be present in an underlying theory we conclude that the low energy effective action of string and branes must possess an E11 symmetry.

17 pages, The eleven dimensional results are given in more detail and are shown to be uniquely determined. Typographical and transcription errors are also corrected

References in corpus (10)

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Cited by in corpus (20)

• The Geometry, Branes and Applications of Exceptional Field Theory
• E11 in 11D
• Weaving the Exotic Web
• A brief review of E theory
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• E11, Romans theory and higher level duality relations
• The non-linear dual gravity equation of motion in eleven dimensions
• On the different formulations of the E11 equations of motion
• E11 and the non-linear dual graviton
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• An E11 invariant gauge fixing
• Spacetime and large local transformations
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• E theory in seven dimensions
• Unfolding $E_{11}$
• Current Algebra Formulation of M-theory based on E11 Kac-Moody Algebra
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory
• Kac-Moody algebras and the cosmological constant
• The string little algebra
• Exotic Aspects of Extended Field Theories