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A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

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arxiv 1009.0437 v2 pith:4MVE55AG submitted 2010-09-02 math-ph cond-mat.otherhep-thmath.MPmath.RTnucl-th

Arne Alex , Matthias Kalus , Alan Huckleberry , Jan von Delft This is my paper · ORCID
classification math-phcond-mat.otherhep-thmath.MPmath.RTnucl-th
keywords algorithmnumericalcalculationclebsch-gordancoefficientsexplicitappendixcalculus
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We present an algorithm for the explicit numerical calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well-suited for numerical implementation; we include a computer code in an appendix. Our exposition presumes only familiarity with the representation theory of SU(2).

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Cited by 1 Pith paper

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  1. Lattice defect networks in 2d Yang-Mills

    hep-th 2025-01 conditional novelty 6.0 of 10

    A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.

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