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| Journal Article | PUBDB-2016-00196 |
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2015
Soc.
[S.l.]
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Please use a persistent id in citations: doi:10.1103/PhysRevD.92.125034
Report No.: DESY-14-091; HU-EP-14/23; HU-Mathematik-14-13; arXiv:1406.3629
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 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.
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The Exact Effective Couplings of 4D N=2 gauge theories
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