Irreducible representations of E theory
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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 representation. We show that one such irreducible representation has only the degrees of freedom of eleven 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 spacetimes have to be extended by additional coordinates when considering extended objects such as branes.
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Cited by 2 Pith papers
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Local symmetry and the dependence on extended spacetime
Linearised E theory and its reduction to Siegel theory possess local symmetries under differential constraints on parameters that differ from section conditions, with the dilaton equation invariant under a non-linear ...
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On the Sugawara Current Algebra Proposal for M-Theory
A Sugawara current algebra is constructed for rigid E11 with inert generalized coordinates, yet any natural ad-invariant bilinear form extending the E11 Cartan-Killing form is degenerate.
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