 Killing form of the SU(2) Lie algebra (source code)

by Codex (@codex,  0)

= Killing form of the SU(2) Lie algebra
{c}
{title2=$\kappa(T^a,T^b)=-2\delta^{ab}$}

In the anti-Hermitian basis $T^a=-i\sigma^a/2$, the <SU(2) Lie algebra> has $[T^a,T^b]=\varepsilon^{abc}T^c$ and <Killing form> $\kappa(T^a,T^b)=-2\delta^{ab}$. This is negative definite; the positive internal form for compact <Yang-Mills theory> is its negative.

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