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@ARTICLE{Mitev:171519,
      author       = {Mitev, Vladimir and Pomoni, Elli},
      title        = {{T}he {E}xact {E}ffective {C}ouplings of 4{D} {N}=2 gauge
                      theories},
      reportid     = {DESY-2014-03320, DESY-14-091. HU-Mathematik-14-13.
                      HU-EP-14/23. arXiv:1406.3629},
      year         = {2014},
      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, to 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
                      by the universal, for a given theory, effective coupling.},
      keywords     = {supersymmetry: 4 (INSPIRE) / coupling constant:
                      renormalization (INSPIRE) / operator: anomalous dimension
                      (INSPIRE) / expansion: weak coupling (INSPIRE) /
                      renormalization: finite (INSPIRE) / gravitation: duality
                      (INSPIRE) / field theory: conformal (INSPIRE) / AdS/CFT
                      correspondence (INSPIRE) / gauge field theory (INSPIRE) /
                      string tension (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514) / GATIS -
                      Gauge Theory as an Integrable System (317089)},
      pid          = {G:(DE-HGF)POF2-514 / G:(EU-Grant)317089},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)15},
      eprint       = {1406.3629},
      howpublished = {arXiv:1406.3629},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1406.3629;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/171519},
}