Irreducible SU(3) Schwinger Bosons
Mathematical Physics
2009-06-12 v2 High Energy Physics - Lattice
High Energy Physics - Theory
math.MP
Nuclear Theory
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).
Cite
@article{arxiv.0901.0644,
title = {Irreducible SU(3) Schwinger Bosons},
author = {Ramesh Anishetty and Manu Mathur and Indrakshi Raychowdhury},
journal= {arXiv preprint arXiv:0901.0644},
year = {2009}
}
Comments
To appear in Journal of Mathematical Physics (vol 50, issue 5), minor typos corrected, 14 pages, revtex