Constant connections, quantum holonomies and the Goldman bracket

被引：0
|
作者：
Nelson, J. E.
Picken, R. F.
机构：
[1] Univ Turin, Dipartimento Fis Teor, I-10125 Turin, Italy
[2] Sez Torino, Ist Nazl Fis Nucl, I-10125 Turin, Italy
[3] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
[4] CAMGSD, P-1049001 Lisbon, Portugal
来源：
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2005年 / 9卷 / 03期
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中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
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.
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页码：407 / 433
页数：27
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