ADS/CFT String Duality and Conformal Gauge Field Theories

Abstract

Compactification of Type IIB superstring on an $Ad{S}_5\times S^5/\Gamma$ 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 ($\mathcal{N}$ = 0) I derive the constraints to be two-loop conformal and examine the consequences for a wide choice of $\Gamma$ and its embedding $\Gamma \subset {\mathcal{C}}^3(\supset S^5)$.

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