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arXiv math-ph/0412007math-phgr-qchep-thmath.MP
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常数连接、量子完整性和Goldman括号

Constant connections, quantum holonomies and the Goldman bracket

J. E. Nelson, R. F. Picken

摘要:

在具有负宇宙学常数和拓扑结构R × T^2的(2+1)维量子引力中,常数矩阵值连接产生基本群的q变形表示,符号面积相位将量子矩阵分配给同伦环.由此产生的量子几何的一些特点进行了探讨,并作为一个结果,量子版本的戈德曼括号获得

英文摘要:

In the context of (2+1)--dimensional quantum gravity with negative cosmological constant and topology R x T^2, constant matrix--valued connections generate a q--deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Goldman bracket is obtained

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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