TY  - RPRT
AU  - Korotkin, D.
AU  - Nicolai, H.
TI  - An integrable model of quantum gravity
IS  - hep-th/9504088
M1  - PUBDB-2023-00754
M1  - hep-th/9504088
M1  - DESY-95-058
SP  - 12
PY  - 1995
N1  - F-Bereich; Theorie
AB  - 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 [D. Korotkin and H. Nicolai, Phys. Rev. Lett. 74 (1995) 1272] 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-Zamolodchikov equations.
KW  - quantum gravity (INSPIRE)
KW  - integrability (INSPIRE)
KW  - dimension: 2 (INSPIRE)
KW  - symmetry: SU(2) (INSPIRE)
KW  - symmetry: chiral (INSPIRE)
KW  - field theory: dilaton (INSPIRE)
KW  - quantization (INSPIRE)
KW  - Hamiltonian formalism (INSPIRE)
KW  - Wheeler-DeWitt equation: solution (INSPIRE)
KW  - Knizhnik-Zamolodchikov equation (INSPIRE)
LB  - PUB:(DE-HGF)29
DO  - DOI:10.3204/PUBDB-2023-00754
UR  - https://bib-pubdb1.desy.de/record/571028
ER  -