Research PapersNo Access

CONSTRAINTS ON CONFORMAL WINDOWS FROM HOLOGRAPHIC DUALS

O. ANTIPIN

Department of Physics, University of Jyväskylä, P. O. Box 35, FIN-40014 Jyväskylä, Finland

Helsinki Institute of Physics, P. O. Box 64, FIN-00014 University of Helsinki, Finland

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and

K. TUOMINEN

CP3-Origins, Campusvej 55, 5230 Odense, Denmark

Helsinki Institute of Physics, P. O. Box 64, FIN-00014 University of Helsinki, Finland

On leave of absence from Department of Physics, University of Jyväskylä.

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https://doi.org/10.1142/S0217732311036747Cited by:13 (Source: Crossref)

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.

Keywords:

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