München 1997 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 12: Quantengravitation, Gittermodelle usw.

GR 12.5: Vortrag

Freitag, 21. März 1997, 15:20–15:40, HS 132

Symplectic Realization and Quantization of the Geroch Group — •Henning Samtleben and Dmitrii Korotkin — II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

An infinite set of conserved nonlocal charges for Einstein gravity with two commuting Killing vector fields is identified. Their canonical Poisson algebra is shown to be quadratic. Despite the fact, that all the charges vanish for non-singular solutions of the field equations, they Poisson-generate symmetries of the model, containing the entire nontrivial half of the solution-generating Geroch group. This symplectic realization opens up the way to an understanding of the quantum role of the Geroch group.