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@ARTICLE{Baume:614379,
      author       = {Baume, Florent and Miscioscia, Alessio and Pomoni, Elli},
      title        = {{C}onstraints on {RG} {F}lows from {P}rotected {O}perators},
      reportid     = {PUBDB-2024-05846, DESY-24-136. arXiv:2409.09006.
                      ZMP-HH/24-20},
      year         = {2024},
      note         = {37 pages, 5 figures},
      abstract     = {We consider protected operators with the same conformal
                      dimensions in the ultraviolet and infrared fixed point. We
                      derive a sum rule for the difference between the two-point
                      function coefficient of these operators in the ultraviolet
                      and infrared fixed point which depends on the two-point
                      function of the scalar operator. In even dimensional
                      conformal field theories, scalar operators with exactly
                      integer conformal dimensions are associated with Type-B
                      conformal anomalies. The sum rule, in these cases, computes
                      differences between Type-B anomaly coefficients. We argue
                      the positivity of this difference in cases in which the
                      conformal manifold contains weakly coupled theories. The
                      results are tested in free theories as well as in $\mathcal
                      N = 2$ superconformal QCD, necklace quivers and holographic
                      RG flows. We further derive sum rules for currents and
                      stress tensor two-point functions.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      BrokenSymmetries - Exact Results from Broken Symmetries
                      (101044226) / DFG project G:(GEPRIS)390833306 - EXC 2121:
                      Quantum Universe (390833306) / DFG project
                      G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen,
                      Modulräume und Integrabilität (506632645)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226 /
                      G:(GEPRIS)390833306 / G:(GEPRIS)506632645},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2409.09006},
      howpublished = {arXiv:2409.09006},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2409.09006;\%\%$},
      doi          = {10.3204/PUBDB-2024-05846},
      url          = {https://bib-pubdb1.desy.de/record/614379},
}