Constraints on Conformal Windows from Holographic Duals

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.

Fig. 5b is corrected to match the discussion in the text

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• The physics of eight flavours
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
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• Holography of the Conformal Window
• Holographic Modelling of a Light Techni-Dilaton
• Exceptional and Spinorial Conformal Windows
• Meson spectra of asymptotically free gauge theories from holography
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Standard Model-like corrections to Dilatonic Dynamics