Constraints on Conformal Windows from Holographic Duals

TL;DR

This paper explores how holographic duals can constrain the conformal window in gauge theories by analyzing beta functions and dilaton potentials, providing new insights into fixed points and anomalous dimensions.

Contribution

It demonstrates the connection between beta functions and dilaton potentials in holography, including supersymmetric and non-supersymmetric theories, and offers scheme-independent fixed point analyses.

Findings

Dilaton poles and fixed points correspond to beta function features.

Explicit demonstration of Seiberg duality in dilaton potential.

New scheme-independent estimates of anomalous dimensions at fixed points.

Abstract

We analyze a beta function with the analytic form of Novikov-Shifman-Vainshtein-Zakharov result in the five dimensional gravity-dilaton environment. We show how dilaton inherits poles and fixed points of such beta function through the zeros and points of extremum in its potential. Super Yang-Mills and supersymmetric QCD are studied in detail and Seiberg's electric-magnetic duality in the dilaton potential is explicitly demonstrated. Non-supersymmetric proposals of similar functional form are tested and new insights into the conformal window as well as determinations of scheme-independent value of the anomalous dimension at the fixed point are presented.