Quantum Holonomies in (2+1)-Dimensional Gravity
广义相对论与量子宇宙学
2009-10-31 v2 高能物理 - 理论
量子代数
摘要
We describe an approach to the quantisation of (2+1)-dimensional gravity with topology R x T^2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a q-commutation relation. Solutions of diagonal and upper-triangular form are constructed, which in the latter case exhibit additional, non-trivial internal relations for each holonomy matrix. Representations are constructed and a group of transformations - a quasi-modular group - which preserves this structure, is presented.
引用
@article{arxiv.gr-qc/9911005,
title = {Quantum Holonomies in (2+1)-Dimensional Gravity},
author = {J. E. Nelson and R. F. Picken},
journal= {arXiv preprint arXiv:gr-qc/9911005},
year = {2009}
}
备注
10 pages Latex no figures