U(N) Coherent States for Loop Quantum Gravity
General Relativity and Quantum Cosmology
2015-05-18 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1005.2090,
title = {U(N) Coherent States for Loop Quantum Gravity},
author = {Laurent Freidel and Etera R. Livine},
journal= {arXiv preprint arXiv:1005.2090},
year = {2015}
}
Comments
23 pages