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Structure constants of SU(N)

  1. Oct 5, 2008 #1
    Hi there,

    Does anybody know how to exploit the product of structure constants of SU(N) through Kroenecker deltas? I mean

    [tex]\sum_a f_{abc}f_{ade}[/tex]

    I know this for SU(2) as in this case I have the Levi-Civita symbol but in other cases I was not able to recover it in literature. Any help appreciated.

    Jon
     
  2. jcsd
  3. Oct 7, 2008 #2

    samalkhaiat

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  4. Oct 8, 2008 #3
    Thanks a lot Sam. This was the formula I was looking for.

    Jon
     
  5. Jun 22, 2011 #4
    Dear Sam & Lester

    Can you please tell me any book reference for these identities involving $d^{abc}$ in jacobi identity and the structure constants contraction.

    Thanks in advance
     
  6. Jun 22, 2011 #5
    Dear samalkhaiat

    Your formula for jacobi identity is wrong. Actually it should have all d^{abc} instead of the f^{abc} everywhere. The correct Jacobi identity is:

    [tex]d^{ace}d^{bde}+d^{ade}d^{bce}+d^{bae}d^{cde}=0[/tex]

    Kindly provide me any references for contraction formula for structure constants of SU(N).

    Thanks.
     
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