Poisson Realization and Quantization of the Geroch Group

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.

8 pages, LaTeX2e

References in corpus (1)

• Isomonodromic Quantization of Dimensionally Reduced Gravity

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