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A note on gauge fixing in Supergravity/Kac-Moody correspondences

MPS-Authors
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Hillmann,  Christian
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0603156.pdf
(Preprint), 155KB

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Citation

Hillmann, C., Kleinschmidt, A., & Nicolai, H. (2006). A note on gauge fixing in Supergravity/Kac-Moody correspondences.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4BD5-4
Abstract
We explain how to achieve the traceless gauge for the spatial part of the spin connection in the framework of the recently proposed correspondence between the (appropriately truncated) bosonic sectors of maximal supergravities and the `geodesic' sigma-model over E10/K(E10) at low levels. After making this gauge choice, the residual symmetries on both sides of this correspondence match precisely. The gauge choice also allows us to give a physical interpretation to the multiplicity of certain primitive affine null roots of E10.