Compactification of type IIB superstring on an AdS(5) X S-5/Gamma backgroun
d leads to SU(N) gauge field theories with prescribed matter representation
s. In the 't Hooft limit of large N such theories are conformally finite. F
or finite N and broken supersymmetry (N = 0) I derive the constraints to be
two-loop conformal and examine the consequences for a wide choice of Gamma
and its embedding Gamma subset of C-3(superset of S-5). [S0556-2821(99)502
14-2].