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.

引用

页码：2839 / 2856

页数：18

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