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Mathur, Manu; Raychowdhury, Indrakshi; Sreeraj, T. P.

Invariants, projection operators and \(SU(N) \times SU(N)\) irreducible Schwinger bosons. (English) Zbl 1272.81100

J. Math. Phys. 52, No. 11, 113505, 18 p. (2011).
Summary: 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.{
©2011 American Institute of Physics}

MSC:

81S05 Commutation relations and statistics as related to quantum mechanics (general)
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
30C35 General theory of conformal mappings

Keywords:

Clebsch-Gordan coefficients; irreducible components
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References:

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