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

Paul H. Frampton
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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 $AdS_5 \times S^5/Γ$ where the resulting GFT has ${\cal N} = 0$ supersymmetry. The fact that the complex scalars are prescribed by the construction limits the possible spontaneous symmetry breaking. Both abelian and nonabelian $Γ$ are illustrated by simple examples. An accurate $sin^2 θ$ in electroweak unification can be obtained, suggesting that this approach merits further study.

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Paul H. Frampton. 2000-11-17. Finite N AdS/CFT Correspondence for Abelian and Nonabelian Orbifolds, and Gauge Coupling Unification. https://doi.org/10.1063/1.1374450

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