Invariants, Projection Operators and $SU(N)\times SU(N)$ Irreducible Schwinger Bosons

Details Invariants, Projection Operators and $SU(N)\times SU(N)$ Irreducible Schwinger Bosons Invariants, Projection Operators and $SU(N)\times SU(N)$ Irreducible Schwinger Bosons

2011-08-26

arxiv.org/abs/1108.5246v1

J. Math. Phys. 52, 113505 (2011)

Physics

Mathematical Physics

24 pages, 2 figures

Scientific paper

10.1063/1.3660195

We exploit SU(N) Schwinger bosons to construct and analyze the coupled irreducible representations of $SU(N) \times SU(N)$ in terms of the invariant group. The corresponding projection operators are constructed in terms of the invariant group generators. We also construct $SU(N) \times SU(N)$ irreducible Schwinger bosons which directly create these coupled irreducible states. The SU(N) Clebsch Gordan coefficients are computed as the matrix elements of the projection operators.

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