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arxiv: 0912.0674 · v2 · pith:GDB6ZDYNnew · submitted 2009-12-03 · ✦ hep-ph · hep-lat· hep-th

Constraints on Conformal Windows from Holographic Duals

classification ✦ hep-ph hep-lathep-th
keywords betaconformaldilatonfixedformfunctionpointspotential
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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.

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