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@ARTICLE{Cornagliotto:318061,
      author       = {Cornagliotto, Martina and Lemos, Madalena and Schomerus,
                      Volker},
      title        = {{L}ong {M}ultiplet {B}ootstrap},
      reportid     = {PUBDB-2017-01060, DESY-17-026. arXiv:1702.05101},
      year         = {2017},
      note         = {submission to JHEP},
      abstract     = {Applications of the bootstrap program to superconformal
                      field theories promise unique new insights into their
                      landscape and could even lead to the discovery of new
                      models. Most existing results of the superconformal
                      bootstrap were obtained form correlation functions of very
                      special fields in short (BPS) representations of the
                      superconformal algebra. Our main goal is to initiate a
                      superconformal bootstrap for long multiplets, one that
                      exploits all constraints from superprimaries and their
                      descendants. To this end, we work out the Casimir equations
                      for four-point correlators of long multiplets of the
                      two-dimensional global $\mathcal{N}=2$ superconformal
                      algebra. After constructing the full set of conformal blocks
                      we discuss two different applications. The first one
                      concerns two-dimensional (2,0) theories. The numerical
                      bootstrap analysis we perform serves a twofold purpose, as a
                      feasibility study of our long multiplet bootstrap and also
                      as an exploration of (2,0) theories. A second line of
                      applications is directed towards four-dimensional
                      $\mathcal{N}=3$ SCFTs. In this context, our results imply a
                      new bound $c \geqslant \tfrac{13}{24}$ for the central
                      charge of such models. A theory that saturates this bound is
                      not known yet.},
      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       = {1702.05101},
      howpublished = {arXiv:1702.05101},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1702.05101;\%\%$},
      doi          = {10.3204/PUBDB-2017-01060},
      url          = {https://bib-pubdb1.desy.de/record/318061},
}