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arXiv · hep-th/9710210

Yangian Symmetry in Integrable Quantum Gravity

D. Korotkin·H. Samtleben
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Abstract

Dimensional reduction of various gravity and supergravity models leads to effectively two-dimensional field theories described by gravity coupled G/H coset space sigma-models. The transition matrices of the associated linear system provide a complete set of conserved charges. Their Poisson algebra is a semi-classical Yangian double modified by a twist which is a remnant of the underlying coset structure. The classical Geroch group is generated by the Lie-Poisson action of these charges. Canonical quantization of the structure leads to a twisted Yangian double with fixed central extension at a critical level.

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D. Korotkin, H. Samtleben. 1997-10-28. Yangian Symmetry in Integrable Quantum Gravity. https://doi.org/10.1016/s0550-3213(98)00358-7

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