On $2D$ quantum gravity coupled to a $\s$-model
广义相对论与量子宇宙学
2009-10-28 v1 高能物理 - 理论
摘要
This contribution is a review of the method of isomonodromic quantization of dimensionally reduced gravity. Our approach is based on the complete separation of variables in the isomonodromic sector of the model and the related ``two-time" Hamiltonian structure. This allows an exact quantization in the spirit of the scheme developed in the framework of integrable systems. Possible ways to identify a quantum state corresponding to the Kerr black hole are discussed. In addition, we briefly describe the relation of this model with Chern Simons theory.
引用
@article{arxiv.gr-qc/9602027,
title = {On $2D$ quantum gravity coupled to a $\s$-model},
author = {D. Korotkin and H. Nicolai and H. Samtleben},
journal= {arXiv preprint arXiv:gr-qc/9602027},
year = {2009}
}
备注
9 pages, LaTeX style espcrc2, to appear in Proceedings of 29th International Symposium Ahrenshoop, Buckow, 1995