SU(N) Coherent States and Irreducible Schwinger Bosons

Understand

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.