Conformal N=0 d=4 Gauge Theories from AdS/CFT Superstring Duality?

TL;DR

This paper catalogs non-supersymmetric four-dimensional gauge theories derived from superstring duality, identifying those with potential conformal invariance based on their beta-functions.

Contribution

It systematically identifies and analyzes non-supersymmetric gauge theories from AdS/CFT duality with potential conformal behavior, expanding the understanding of gauge/string correspondence.

Findings

Several theories have vanishing two-loop beta-functions.

Potential conformal field theories are identified among the cataloged models.

Theories are derived from superstring duality on specific orbifold backgrounds.

Abstract

Non-supersymmetric d=4 gauge theories which arise from superstring duality on a manifold $AdS_5 \times S_5/Z_p$ are cataloged for a range $2 \leq p \leq 41$. A number have vanishing two-loop gauge \beta-function, a necessary but not sufficient condition to be a conformal field theory.