Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-13

Vladimir Mitev, Elli Pomoni


The Exact Couplings of 4D N=2 gauge theories


Abstract: 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 by an interpolating function of the N=2 coupling constants [1], to which we refer to as the effective coupling. We compute the weak coupling expansion of these functions for a large class of N = 2 theories 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 by the universal, for a given theory, effective coupling.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), P-2014-13


5 pp.