Irreducible SU(3) Schwinger Bosons
Ramesh Anishetty, Manu Mathur, Indrakshi Raychowdhury
TL;DR
This paper introduces irreducible SU(3) Schwinger bosons that simplify the construction of SU(3) representations, making the theory as straightforward as SU(2) and addressing multiplicity issues, with potential for generalization to SU(N).
Contribution
The authors develop a new set of irreducible Schwinger bosons that streamline SU(3) representation construction and solve multiplicity problems, extending the approach to SU(N).
Findings
Simplified SU(3) representation construction using irreducible bosons.
Resolution of multiplicity problems in SU(3) representations.
Potential generalization of techniques to SU(N).
Abstract
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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