SUNT

Description

SUNT[a] is the SU(N) (Subscript[T, a]) generator in the fundamental representation.

See also:  CA, CF, SUND, SUNDelta, SUNF, SUNSimplify.

Examples

SUNT[a]

Since (Subscript[T, a]) is a noncommutative object, products have to separated by a dot (.).

SUNT[a] .  SUNT[b] .  SUNT[c]

SUNT[a, b, c, d]

SUNSimplify[SUNT[a, b, a], SUNNToCACF -> False]

SUNSimplify[SUNT[a, b, b, a]]

SUNSimplify[SUNT[a, b, a]]

SUNSimplify[SUNT[a, b, a], SUNNToCACF -> False]

The normalizaton of the generators is chosen in the standard way, therefore tr((Subscript[T, a]) (Subscript[T, b]))  =  
        1/2 (Subscript[δ, ab]).

SUNTrace[SUNT[a, b]]

In case you want (Subscript[T, f]), you need to include a factor 2Tf inside the trace.

SUNTrace[2 Tf SUNT[a, b]]

SUNTrace[SUNT[a, b]] // StandardForm

SUNT[a] // FCI // StandardForm

SUNT[a] // FCI // FCE // StandardForm