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Poisson Realization and Quantization of the Geroch Group

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arxiv gr-qc/9611061 v1 pith:NGMUBQSB submitted 1996-11-26 gr-qc hep-th

D. Korotkin , H. Samtleben This is my paper · ORCID
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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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Cited by 2 Pith papers

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  1. The auxiliary-deformed Breitenlohner-Maison model: duality frames and higher-dimensional origin

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Extends auxiliary deformations of the 2D BM model to the μ-frame and uplifts both frames to a 4D higher-derivative theory without manifest diffeomorphism invariance.

  2. Integrable deformations of dimensionally reduced gravity

    hep-th 2025-02 conditional novelty 6.0 of 10

    Auxiliary field and Yang-Baxter deformations of D=2 dimensionally reduced gravity are shown to admit flat Lax representations, with the auxiliary field case preserving the Hamiltonian integrability structure.

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