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Irreducible representations of E theory

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Original languageEnglish
Article number1950133
Number of pages38
JournalInternational Journal of Modern Physics A
Issue number24
Publication statusPublished - 30 Aug 2019

King's Authors


We construct the E theory analogue of the particles that transform under the Poincare group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of E11 with its vector epresentation. We show that one such irreducible representation has only the degrees of freedom of 11-dimensional supergravity. This representation is most easily discussed in the light cone formalism and we show that the duality relations found in E theory take a particularly simple form in this formalism. We explain that the mysterious symmetries found recently in the light cone formulation of maximal supergravity theories are part of E11. We also argue that our familiar space-times have to be extended by additional coordinates when considering extended objects such as branes.

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