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@ARTICLE{Lemos:320553,
      author       = {Lemos, Madalena and Liendo, Pedro and Meneghelli, Carlo and
                      Mitev, Vladimir},
      title        = {{B}ootstrapping $\mathcal{{N}} = 3$ superconformal
                      theories},
      journal      = {Journal of high energy physics},
      volume       = {1704},
      number       = {04},
      issn         = {1029-8479},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {PUBDB-2017-01837, DESY-16-237. MITP/16-132},
      pages        = {032},
      year         = {2017},
      abstract     = {We initiate the bootstrap program for $\mathcal{N} = 3$
                      superconformal field theories (SCFTs) in four dimensions.
                      The problem is considered 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. With the goal of describing a protected
                      subsector of a family of $\mathcal{N} = 3$ SCFTs, we propose
                      a new 2d chiral algebra with super Virasoro symmetry that
                      depends on an arbitrary parameter, identified with the
                      central charge of the theory. Turning to the crossing
                      equations, we work out the superconformal block expansion
                      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,allowingustozoominonaspecific
                      $\mathcal{N} = 3$ SCFT.},
      cin          = {T},
      ddc          = {530},
      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)16},
      UT           = {WOS:000398450600003},
      doi          = {10.1007/JHEP04(2017)032},
      url          = {https://bib-pubdb1.desy.de/record/320553},
}