Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.

  2. jcsd
  3. Oct 7, 2008 #2


    User Avatar
    Science Advisor

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

  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:


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

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook