SO(5) Clebsch-Gordan coefficients involving the 14-dimensional representation
Igor Salom, Djordje Sijacki
TL;DR
This paper corrects and provides accurate analytic expressions for the SO(5) Clebsch-Gordan coefficients involving the 14-dimensional representation, addressing errors in previous literature.
Contribution
It offers the first complete and corrected set of analytic SO(5) CG coefficients involving the 14-dimensional representation.
Findings
Approximately 30% of previously published coefficients were incorrect.
The paper provides corrected and verified analytic expressions for all relevant CG coefficients.
This work enables more accurate calculations in models using SO(5) symmetry.
Abstract
Analytic expressions for the Clebsch-Gordan (CG) coefficients of the SO(5) group that involve the 14-dimensional representation can be found in an old paper of M. K. F. Wong. A careful analysis yields that roughly 30% of the coefficients given in that paper are wrong. The correct analytic expressions for all SO(5) group CG coefficients containing the 14-dimensional representation are obtained.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics