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arXiv 1003.5487math-phmath.MP
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SU(N)不可约Schwinger玻色子

SU(N) Irreducible Schwinger Bosons

Manu Mathur, Indrakshi Raychowdhury, Ramesh Anishetty

摘要:

我们构造了满足一定U(N-1)约束的SU(N)不可约Schwinger玻色子,这些约束实现了SU(N)Young表的对称性.因此,所有的SU(N)不可约表示都是SU(N)不可约Schwinger玻色子的$(N-1)$型的单项式.此外,我们表明,这些表示是免费的多重性问题。因此所有的SU(N)表示都和SU(2)一样简单。

英文摘要:

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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