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Compactification of type IIB superstring on an AdS₅×S⁵/Γ background leads to SU(N) gauge field theories with prescribed matter representations. In the 't Hooft limit of large N such theories are conformally finite. For 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 Γ and its embedding Γ⊂C³(⊃S⁵).
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Paul H. Frampton (1999) studied this question.
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