Quantization of Coset Space σ-Models Coupled to Two-Dimensional Gravity

被引：0
|
作者：
D. Korotkin
H. Samtleben
机构：
[1] II. Institut für Theoretische Physik,
[2] Universität Hamburg,undefined
[3] Luruper Chaussee 149,undefined
[4] D-22761 Hamburg,undefined
[5] Germany,undefined
来源：
Communications in Mathematical Physics | 1997年 / 190卷
关键词：
Exact Solution; Phase Space; Dimensional Reduction; Hamiltonian Formulation; Mathematical Framework;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The mathematical framework for an exact quantization of the two-dimensio‐nal coset space σ-models coupled to dilaton gravity, that arise from dimensional reduction of gravity and supergravity theories, is presented. Extending previous results [49] 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.
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页码：411 / 457
页数：46
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