%0 Journal Article
%A Mitev, Vladimir
%A Pomoni, Elli
%T Exact effective couplings of four dimensional gauge theories with N = 2 supersymmetry
%J Physical review / D
%V 92
%N 12
%@ 1550-7998
%C [S.l.]
%I Soc.
%M PUBDB-2016-00196
%M DESY-14-091
%M HU-Mathematik-14-13
%M HU-EP-14/23
%M arXiv:1406.3629
%P 125034
%D 2015
%X The anomalous dimensions of operators in the purely gluonic SU(2,1 - 2) sector of any planar conformal N=2 theory can be read off from the N=4 SYM results by replacing the N=4 coupling constant with an interpolating function of the N=2 coupling constants [1], which we refer to as the effective coupling. For a large class of N=2 theories, we compute the weak-coupling expansion of these functions as well as the leading strong-coupling term by employing supersymmetric localization. Via Feynman diagrams, we interpret our results as the relative (between N=2 and N=4) finite renormalization of the coupling constant. Using the AdS/CFT dictionary, we identify the effective couplings with the effective string tensions of the corresponding gravity dual theories. Thus, any observable in the SU(2,1 - 2) sector can be obtained from its N=4 counterpart by replacing the N=4 coupling constant with the universal, for a given theory, effective coupling.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000367382800010
%R 10.1103/PhysRevD.92.125034
%U https://bib-pubdb1.desy.de/record/292979