SU(N) Coherent States and Irreducible Schwinger Bosons
arXiv:1007.1510 · doi:10.1088/1751-8113/44/3/035203
Abstract
We exploit the SU(N) irreducible Schwinger boson to construct SU(N) coherent states. This construction of SU(N) coherent state is analogous to the construction of the simplest Heisenberg-Weyl coherent states. The coherent states belonging to irreducible representations of SU(N) are labeled by the eigenvalues of the $(N-1)$ SU(N) Casimir operators and are characterized by $(N-1)$ complex orthonormal vectors describing the SU(N) group manifold.
12 pages, 3 figures