Poisson Realization and Quantization of the Geroch Group
classification
🌀 gr-qc
hep-th
keywords
gerochpoissonalgebragroupbuildcanonicalchargesconserved
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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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