Holographic Conformal Window - A Bottom Up Approach

TL;DR

This paper develops a five-dimensional holographic model to study the conformal window in Yang-Mills and related gauge theories, revealing how the geometry approaches AdS as flavors increase.

Contribution

It introduces a bottom-up holographic framework based on the all-orders beta function to analyze the conformal window in non-supersymmetric gauge theories.

Findings

Geometry becomes more AdS-like with increasing flavors.

The model captures the IR fixed point behavior.

Ultraviolet and infrared regimes are both AdS in the conformal window.

Abstract

We propose a five-dimensional framework for modeling the background geometry associated to ordinary Yang-Mills (YM) as well as to nonsupersymmetric gauge theories possessing an infrared fixed point with fermions in various representations of the underlying gauge group. The model is based on the improved holographic approach, on the string theory side, and on the conjectured all-orders beta function for the gauge theory one. We first analyze the YM gauge theory. We then investigate the effects of adding flavors and show that, in the holographic description of the conformal window, the geometry becomes AdS when approaching the ultraviolet and the infrared regimes. As the number of flavors increases within the conformal window we observe that the geometry becomes more and more of AdS type over the entire energy range.