The formula you are referring to is valid only for SU(2), not for
generic SU(N). Already
for SU(3) it becomes invalid, since the result will contain products of
d^abc. SUNSimplify
does not allow to specialize N, so only relations valid for SU(N) with
arbitrary N can be employed. It is up to you to implement your own set
of rules for specific N=2,3,...
Cheers,
Vladyslav
Am 07.12.18 um 11:27 schrieb xh Qin:
> sir,
> i find it that \epsilon^{abc} \epsilon^{ade} could't get the \delta^{bd} \delta^{cf} - \delta^{bf} \delta^{cd} by using the SUNF.
> my code is below:
> In[87]:= SUNF[a, b, c] SUNF[a, d, e] // SUNSimplify
> Out[87]= f^(abc) f^(ade)
>
> but if the same indice of \epsinlon is two or more, the result is accordant with the book.
> and the code is also below:
> SUNF[a, c, d] SUNF[b, c, d] // SUNSimplify[#, SUNNToCACF -> False] &
> SUNF[a, b, c] SUNF[a, b, c] // SUNSimplify[#, SUNNToCACF -> False] &
> N \[Delta]^(ab)
> N (N^2-1)
> Can you tell me why and how to do it?
> Thank you! my e-mail is 981082662@qq.com
>
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