A QUANTUM GOLDMAN BRACKET FOR LOOPS ON SURFACES

被引：1
|
作者：
Nelson, J. E. [1 ,2 ]
Picken, R. F. [3 ,4 ]
机构：
[1] Univ Turin, Dipartmento Fis Teor, I-10125 Turin, Italy
[2] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy
[3] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
[4] Univ Tecn Lisboa, Inst Super Tecn, CAMGSD, P-1049001 Lisbon, Portugal
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2009年 / 24卷 / 15期
关键词：
Goldman bracket; quantum; surfaces; HOMOTOPY-GROUPS; GRAVITY;
D O I：
10.1142/S0217751X09046199
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In the context of (2+1)-dimensional gravity, we use holonomies of constant connections which generate a q-deformed representation of the fundamental group to derive signed area phases which relate the quantum matrices assigned to homotopic loops. We use these features to determine a quantum Goldman bracket (commutator) for intersecting loopson surfaces, and discuss the resulting quantum geometry.
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页码：2839 / 2856
页数：18
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