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Poisson Realization and Quantization of the Geroch Group

D. Korotkin·H. Samtleben
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Abstract

The conserved nonlocal charges generating the Geroch group with respect to the canonical Poisson structure of the Ernst equation are found. They are shown to build a quadratic Poisson algebra, which suggests to identify the quantum Geroch algebra with Yangian structures.

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D. Korotkin, H. Samtleben. 1996-11-26. Poisson Realization and Quantization of the Geroch Group. https://doi.org/10.1088/0264-9381%2F14%2F8%2F003

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