E_{11} and Higher Spin Theories

Abstract

We consider the previous proposal of the author to use an extension of spacetime obtained by taking the non-linear realisation of the semi-direct product of E_{11} with a set of generators belonging to one of the fundamental representations of E_{11}. We determine, at low levels, the symmetries that the associated point particle moving in this generalised spacetime should possess and write down the corresponding action. Quantisation of similar actions has been shown to lead to the unfolded formulation of higher spin theories and we argue that the generalised coordinates will lead in the non-linear realisation to an infinite number of propagating higher spin fields.

11 pages, some references and a few comments added

References in corpus (21)

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Cited by in corpus (13)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• The E_{11} origin of all maximal supergravities
• On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• E(11)-extended spacetime and gauged supergravities
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• A brief review of E theory
• Generalised space-time and duality
• $Sp(8)$ invariant higher spin theory, twistors and geometric BRST formulation of unfolded field equations
• Higher Spins in Hyper-Superspace
• M-branes on U-folds
• Real forms of extended Kac-Moody symmetries and higher spin gauge theories
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories