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Journal Article

Canonical analysis of E6(6)(R) invariant five dimensional (super-)gravity


Kreutzer ,  L. T.
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kreutzer, L. T. (2021). Canonical analysis of E6(6)(R) invariant five dimensional (super-)gravity. Journal of Mathematical Physics, 62(3): 032302. doi:10.1063/5.0037092.

Cite as: https://hdl.handle.net/21.11116/0000-0006-7C42-5
We investigate the canonical structure of the bosonic sector of the unique
maximal supergravity theory in five dimensions that is manifestly invariant
under the global action of E$_{6(6)}(\mathbb{R})$. Starting from the Lagrangian
formulation of the theory we construct the Hamiltonian formulation and the full
set of canonical constraints. We determine all gauge transformations and
compute the algebra formed by the canonical constraints under the Poisson
bracket. We deduce the number of physical degrees of freedom and construct the
extended Hamiltonian, describing the most general time evolution of the theory,
where the full gauge freedom is manifest.