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arXiv · 1005.2090

U(N) Coherent States for Loop Quantum Gravity

Laurent Freidel·Etera R. Livine
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Abstract

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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Laurent Freidel, Etera R. Livine. 2010-05-12. U(N) Coherent States for Loop Quantum Gravity. https://doi.org/10.1063/1.3587121

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