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SU(N) Irreducible Schwinger Bosons

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arxiv 1003.5487 v1 pith:ZGPOL3P6 submitted 2010-03-29 math-ph math.MP

classification math-phmath.MP
keywords irreduciblebosonsrepresentationsschwingersimplecertainconstraintsconstruct
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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).

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  2. Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors

    hep-lat 2026-02 reject novelty 5.0 of 10

    A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.

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