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Yangian Symmetry in Integrable Quantum Gravity | | D. Korotkin
; H. Samtleben
; | | Date: |
28 Oct 1997 | | Journal: | Nucl.Phys. B527 (1998) 657-689 | | Subject: | hep-th gr-qc | | 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. | | Source: | arXiv, hep-th/9710210 | | Services: | Forum | Review | PDF | Favorites | |
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