The canonical formulation of E6(6) exceptional field theory

Kreutzer, Lars T.

doi:10.1007/JHEP07(2021)145

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The canonical formulation of E6(6) exceptional field theory

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Kreutzer, Lars T.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Kreutzer, L. T. (2021). The canonical formulation of E6(6) exceptional field theory. Journal of high energy physics: JHEP, 2021(07): 145. doi:10.1007/JHEP07(2021)145.

Cite as: https://hdl.handle.net/21.11116/0000-0009-10B1-C

Abstract

We investigate the canonical formulation of the (bosonic) E$_{6(6)}$
exceptional field theory. The explicit non-integral (not manifestly gauge
invariant) topological term of E$_{6(6)}$ exceptional field theory is
constructed and we consider the canonical formulation of a model theory based
on the topological two-form kinetic term. Furthermore we construct the
canonical momenta and the canonical Hamiltonian of the full bosonic E$_{6(6)}$
exceptional field theory. Most of the canonical gauge transformations and some
parts of the canonical constraint algebra are calculated. Moreover we discuss
how to translate the results canonically into the generalised vielbein
formulation. We comment on the possible existence of generalised Ashtekar
variables.