Finite N AdS/CFT Correspondence for Abelian and Nonabelian Orbifolds, and Gauge Coupling Unification

Although the AdS/CFT correspondence is rigorous only for an infinite $N \to \infty$stackofD3-branes,itcanbefruitfullystudiedforfinite$N$ as a source of gauge structures and choices for chiral fermions and complex scalars which solve the hierarchy problem by a conformal fixed point. We emphasize orbifolds $Ad{S}_5\times S^5\mathrm{/}\mathrm{\Gamma }$ where the resulting GFT has $\mathcal{N}=0$ supersymmetry. The fact that the complex scalars are prescribed by the construction limits the possible spontaneous symmetry breaking. Both abelian and nonabelian $\mathrm{\Gamma }$ are illustrated by simple examples. An accurate $sin^2 \theta$ in electroweak unification can be obtained, suggesting that this approach merits further study.