U(N) coherent states for loop quantum gravity

被引：66
|
作者：
Freidel, Laurent [1 ]
Livine, Etera R. [2 ]
机构：
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] ENS Lyon, Phys Lab, CNRS, UMR 5672, F-69007 Lyon, France
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 05期
关键词：
D O I：
10.1063/1.3587121
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the geometry of the space of N-valent SU(2) intertwiners. We propose a new set of holomorphic operators acting on this space and a new set of coherent states which are covariant under U(N) transformations. These states are labeled by elements of the Grassmannian Gr(N,2), they possess a direct geometrical interpretation in terms of framed polyhedra and are shown to be related to the well-known coherent intertwiners. (C) 2011 American Institute of Physics. [doi:10.1063/1.3587121]
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页数：21
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