Precision Calculations in Supersymmetric Theories

Table 3

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

Group	SO(𝑁)
𝐶𝐴	𝑏(𝑁−2)
𝐶𝑅	(𝑏/2)(𝑁−1)
𝐼2(𝐴)	𝑏(𝑁−2)
𝐼2(𝑅)	𝑏
𝑁𝐴	(1/2)𝑁(𝑁−1)
𝐷4(𝐴𝐴)	𝑏^4/24(𝑁−2)(−296+138𝑁−15𝑁^2+𝑁^3)
𝐷4(𝑅𝐴)	𝑏^4/24(𝑁−2)(22−7𝑁+𝑁^2)
𝐷4(𝑅𝑅)	𝑏^4/24(4−𝑁+𝑁^2)
𝐷4(𝐴𝐴𝐴)	𝑏^6/432(𝑁−2)(−29440+23272𝑁−7018𝑁^2+971𝑁^3−47𝑁^4+2𝑁^5)
𝐷4(𝑅𝐴𝐴)	𝑏^6/432(𝑁−2)(2048−1582𝑁+387𝑁^2−31𝑁^3+2𝑁^4)