Precision Calculations in Supersymmetric Theories

Table 2

SU(𝑁) Group invariants (here 𝑅 is the fundamental representation).

Group	SU(𝑁)
𝐶𝐴	𝑏𝑁
𝐶𝑅	𝑏𝑁^2−1/2𝑁
𝐼2(𝐴)	𝑏𝑁
𝐼2(𝑅)	𝑏/2
𝑁𝐴	𝑁^2−1
𝐷4(𝐴𝐴)	𝑏^4/24(𝑁^2+36)𝑁^2
𝐷4(𝑅𝐴)	𝑏^4/48𝑁(𝑁^2+6)
𝐷4(𝑅𝑅)	𝑏^4/96𝑁^2(18−6𝑁^2+𝑁^4)
𝐷4(𝐴𝐴𝐴)	𝑏^6/216𝑁^2(324+135𝑁^2+𝑁^4)
𝐷4(𝑅𝐴𝐴)	𝑏^6/432𝑁^3(51+𝑁^2)