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.
E11, generalised space-time and IIA string theory
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
As advocated in hep-th/0307098 we construct the non-linear realisation of the semi-direct product of E11 and its first fundamental representation at lowest level from the IIA viewpoint. We find a theory that is SO(10,10)x GL(1) invariant and contains the fields of gravity, a two form and a dilaton but which depend on coordinates which belong to the vector representation of SO(10,10). The resulting Lagrangian agrees that of recent work on the so called doubled field theory. However, the construction given in this paper is straightforward and systematic. It also reveals the relevant underlying symmetries and opens the way to include the Ramond-Ramond, and higher level, fields together with additional coordinates of the generalised space-time.
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hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.