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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abstract
We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in eleven dimensions and find the dynamical equations it predicts at low levels. These equations are completely determined by the non-linear realisation and when restricted to contain only the usual fields of supergravity and the usual space-time we find precisely the equations of motion of eleven dimensional supergravity. This paper extends the results announced in arXiv:1512.01644 and in particular it contains the contributions to the equations of motion that involve derivatives with respect to the level one generalised coordinates.
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Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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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Duality-covariant particles and exotic branes
Proposes enlarged worldline models with coadjoint orbit terms and generalized worldvolume theories for exotic branes that make E8 duality covariance manifest in a Hamiltonian formulation.
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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.