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An Integrable Model of Quantum Gravity | | D. Korotkin
; H. Nicolai
; | | Date: |
18 Apr 1995 | | Journal: | Phys.Lett. B356 (1995) 211-216 | | Subject: | hep-th | | Affiliation: | University of Hamburg | | Abstract: | We present a new quantization scheme for $2D$ gravity coupled to an $SU(2)$ principal chiral field and a dilaton; this model represents a slightly simplified version of stationary axisymmetric quantum gravity. The analysis makes use of the separation of variables found in our previous work [1] and is based on a two-time hamiltonian approach. The quantum constraints are shown to reduce to a pair of compatible first order equations, with the dilaton playing the role of a ``clock field’’. Exact solutions of the Wheeler-DeWitt equation are constructed via the integral formula for solutions of the Knizhnik-Zamolodchiokov equations. | | Source: | arXiv, hep-th/9504088 | | Services: | Forum | Review | PDF | Favorites | |
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