Chiral Fermions and AdS/CFT Duality for a Nonabelian Orbifold

Abstract

We present what we believe is the minimal three-family $AdS/CFT$ model compactified on a nonabelian orbifold $S^5/(Q\times Z_3)$. Nontrivial irreps of the discrete nonabelian group $Q\times Z_3$ are identified with the $4$ of $SU(4)$ $R$ symmetry to break all supersymmetries, and the scalar content of the model is sufficient to break the gauge symmetry to the standard model. According to the conformality hypothesis the progenitor $SU(4{)}^3\times SU(2{)}^{12}$ theory becomes conformally invariant at an infra-red fixed point of the renormalization group.

Comments: 11 pages latex and one JPG figure