Yangian Symmetry in Integrable Quantum Gravity
نویسنده
چکیده
Dimensional reduction of various gravity and supergravity models leads to effectively twodimensional field theories described by gravity coupled G/H coset space σ-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. ∗On leave of absence from Steklov Mathematical Institute, Fontanka, 27, St.Petersburg 191011, Russia.
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