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 parameter constraint, without needing field conditions.
Irreducible representations of E theory
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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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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 parameter constraint, without needing field conditions.
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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.