Generalised Space-time and Gauge Transformations

Abstract

We consider the generalised space-time introduced by the author in 2003 in the context of the non-linear realisation of the semi-direct product of E11 and its first fundamental representation. For all the fields we propose gauge transformations which are compatible with the underlying E11 structure. A crucial role is played by the generalised vielbein that the generalised space-time possess. We work out the explicit form of the gauge transformations, at low levels, in four, five and eleven dimensions.

33 pages

References in corpus (31)

• Superspace Duality in Low-Energy Superstrings
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• E_11 and M Theory
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• M-theory, exceptional generalised geometry and superpotentials
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Cited by in corpus (21)

• Generalised diffeomorphisms for E${}_9$
• Beyond E11
• E${}_9$ exceptional field theory I. The potential
• E${}_9$ exceptional field theory II. The complete dynamics
• On supersymmetric E11 exceptional field theory
• E11 must be a symmetry of strings and branes
• Exceptional geometry and Borcherds superalgebras
• On the exceptional generalised Lie derivative for $d\ge 7$
• E11, Romans theory and higher level duality relations
• Generalised vielbeins and non-linear realisations
• E11 and exceptional field theory
• On the different formulations of the E11 equations of motion
• E11 and the non-linear dual graviton
• Irreducible representations of E theory
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• The massless irreducible representation in E theory and how bosons can appear as spinors
• An E11 invariant gauge fixing
• On section conditions of E7(7) exceptional field theory and superparticle in N=8 central charge superspace
• Spacetime and large local transformations
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• Unfolding $E_{11}$