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@ARTICLE{Lemos:315584,
      author       = {Lemos, Madalena and Liendo, Pedro and Meneghelli, Carlo and
                      Mitev, Vladimir},
      title        = {{B}ootstrapping $\mathcal{{N}}=3$ superconformal theories},
      reportid     = {PUBDB-2016-05986, DESY 16-237. MITP/16-132},
      year         = {2016},
      abstract     = {We initiate the bootstrap program for $\mathcal{N}=3$
                      superconformal field theories (SCFTs) in four dimensions. We
                      consider the problem from two fronts: the protected
                      subsector described by a $2d$ chiral algebra, and crossing
                      symmetry for half-BPS operators whose superconformal
                      primaries parametrize the Coulomb branch of $\mathcal{N}=3$
                      theories. In order to describe a protected subsector of a
                      family of $\mathcal{N}=3$ SCFTs, we study a $2d$ chiral
                      algebra with super Virasoro symmetry that depends on an
                      arbitrary parameter, identified with the central charge of
                      the theory. Turning on to crossing, we work out the
                      superconformal block expansion of the crossing equations and
                      apply standard numerical bootstrap techniques in order to
                      constrain the CFT data. We obtain bounds valid for any
                      theory but also, thanks to input from the chiral algebra
                      results, we are able to exclude solutions with
                      $\mathcal{N}=4$ supersymmetry, allowing us to zoom in on a
                      specific $\mathcal{N}=3$ SCFT.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) / GATIS -
                      Gauge Theory as an Integrable System (317089)},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)317089},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)29},
      eprint       = {1612.01536},
      howpublished = {arXiv:1612.01536},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1612.01536;\%\%$},
      doi          = {10.3204/PUBDB-2016-05986},
      url          = {https://bib-pubdb1.desy.de/record/315584},
}