U(N) Coherent States for Loop Quantum Gravity

Details U(N) Coherent States for Loop Quantum Gravity U(N) Coherent States for Loop Quantum Gravity

2010-05-12

arxiv.org/abs/1005.2090v1

J. Math. Phys. 52: 052502,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages

Scientific paper

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.

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