SU(N) Irreducible Schwinger Bosons

Abstract

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).

27 pages, 5 figures, revtex4

References in corpus (4)

• Prepotential formulation of SU(3) lattice gauge theory
• Loop Approach to Lattice Gauge Theories
• Irreducible SU(3) Schwinger Bosons
• On Loop States in Loop Quantum Gravity

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