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arxiv: 0901.0644 · v2 · submitted 2009-01-06 · 🧮 math-ph · hep-lat· hep-th· math.MP· nucl-th

Irreducible SU(3) Schwinger Bosons

Ramesh Anishetty , Manu Mathur , Indrakshi Raychowdhury This is my paper
classification 🧮 math-ph hep-lathep-thmath.MPnucl-th
keywords schwingerirreduciblebosonsoscillatorssimpletechniquescertaincomputational
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We develop simple computational techniques for constructing all possible SU(3) representations in terms of irreducible SU(3) Schwinger bosons. We show that these irreducible Schwinger oscillators make SU(3) representation theory as simple as SU(2). The new Schwinger oscillators satisfy certain Sp(2,R) constraints and solve the multiplicity problem as well. These SU(3) techniques can be generalized to SU(N).

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  1. Resolution of SU(3) Outer Multiplicity Problem and the $SU(3)\otimes SU(3)$ Invariant Group $SO(4,2)$

    math-ph 2019-06 unverdicted novelty 7.0

    SU(3) outer multiplicity is resolved by constructing invariant operators from Schwinger bosons that generate an SO(4,2) algebra.