SU(N) Irreducible Schwinger Bosons

Details SU(N) Irreducible Schwinger Bosons SU(N) Irreducible Schwinger Bosons

2010-03-29

arxiv.org/abs/1003.5487v1

J.Math.Phys.51:093504,2010

Physics

Mathematical Physics

27 pages, 5 figures, revtex4

Scientific paper

10.1063/1.3464267

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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