Poisson Realization and Quantization of the Geroch Group
General Relativity and Quantum Cosmology
2010-04-06 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/9611061,
title = {Poisson Realization and Quantization of the Geroch Group},
author = {D. Korotkin and H. Samtleben},
journal= {arXiv preprint arXiv:gr-qc/9611061},
year = {2010}
}
Comments
8 pages, LaTeX2e