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arxiv: 1003.5487 · v1 · pith:ZGPOL3P6new · submitted 2010-03-29 · 🧮 math-ph · math.MP

SU(N) Irreducible Schwinger Bosons

classification 🧮 math-ph math.MP
keywords irreduciblebosonsrepresentationsschwingersimplecertainconstraintsconstruct
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We construct SU(N) irreducible Schwinger bosons satisfying certain U(N-1) constraints which implement the symmetries of SU(N) Young tableaues. As a result all SU(N) irreducible representations are simple monomials of $(N-1)$ types of SU(N) irreducible Schwinger bosons. Further, we show that these representations are free of multiplicity problems. Thus all SU(N) representations are made as simple as SU(2).

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