String Theory and Unification

TL;DR

This paper explores how the AdS/CFT correspondence can generate quiver gauge theories, specifically non-supersymmetric models with chiral fermions, and discusses potential unification at a few TeV scale.

Contribution

It demonstrates how abelian orbifolds with finite groups can produce realistic gauge theories with chiral matter, advancing unification models beyond traditional grand unification scales.

Findings

Proposes a non-supersymmetric $G = U(N)^p$ gauge theory from orbifolds.

Suggests unification scale around 4 TeV based on $Z$ resonance measurements.

Identifies specific parameters $p=12$ and $N=3$ for model consistency.

Abstract

The use of the AdS/CFT correspondence to arrive at quiver gauge field theories is discussed. An abelian orbifold with the finite group $Z_{p}$ can give rise to a nonsupersymmetric $G = U(N)^p$ gauge theory with chiral fermions and complex scalars in different bi-fundamental representations of $G$. The precision measurements at the $Z$ resonance suggest the values $p = 12$ and $N = 3$, and a unifications scale $M_U \sim 4$ TeV. Dedicated to the 65th birthday of Pran Nath.