Poisson Realization and Quantization of the Geroch Group

Details Poisson Realization and Quantization of the Geroch Group Poisson Realization and Quantization of the Geroch Group

1996-11-26

arxiv.org/abs/gr-qc/9611061v1

Class.Quant.Grav.14:L151-L156,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX2e

Scientific paper

10.1088/0264-9381/14/8/003

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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