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

Abstract

Although the AdS/CFT correspondence is rigorous only for an infinite $N\to \infty$ stack of D3-branes, it can be fruitfully studied for finite $N$ 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 $Ad{S}_5\times S^5/\Gamma$ 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 $\Gamma$ are illustrated by simple examples. An accurate $si{n}^2\theta$ in electroweak unification can be obtained, suggesting that this approach merits further study.

29 pages latex. Contribution to the Journal of Mathematical Physics, special issue devoted to Strings, Branes and M-theory

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• Large N Field Theories, String Theory and Gravity
• Bulk Fields in the Randall-Sundrum Compactification Scenario
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Cited by in corpus (2)

• Quiver Gauge Theory and Conformality at the TeV Scale
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry