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Quantization of coset space sigma-models coupled to two-dimensional gravity

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arxiv hep-th/9607095 v2 pith:4GEVCOV4 submitted 1996-07-12 hep-th

D. Korotkin , H. Samtleben This is my paper · ORCID
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keywords cosetquantizationgravityspacecompletecoupledexacthamiltonian
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The mathematical framework for an exact quantization of the two-dimensional coset space sigma-models coupled to dilaton gravity, that arise from dimensional reduction of gravity and supergravity theories, is presented. Extending previous results the two-time Hamiltonian formulation is obtained, which describes the complete phase space of the model in the isomonodromic sector. The Dirac brackets arising from the coset constraints are calculated. Their quantization allows to relate exact solutions of the corresponding Wheeler-DeWitt equations to solutions of a modified (Coset) Knizhnik-Zamolodchikov system. On the classical level, a set of observables is identified, that is complete for essential sectors of the theory. Quantum counterparts of these observables and their algebraic structure are investigated. Their status in alternative quantization procedures is discussed, employing the link with Hamiltonian Chern-Simons theory.

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Cited by 3 Pith papers

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