Chiral Fermions and AdS/CFT Duality for a Nonabelian Orbifold

TL;DR

This paper constructs a minimal three-family AdS/CFT model using a nonabelian orbifold that breaks all supersymmetries and can potentially lead to the standard model through conformal invariance at an IR fixed point.

Contribution

It introduces a novel nonabelian orbifold compactification for AdS/CFT that achieves three-family models with broken supersymmetry and realistic gauge symmetry breaking.

Findings

Model contains three families with standard model gauge group

Scalar content sufficient for gauge symmetry breaking

Proposes conformal invariance at an IR fixed point

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.