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@ARTICLE{GimenezGrau:462577,
      author       = {Gimenez-Grau, Aleix and Liendo, Pedro},
      title        = {{B}ootstrapping {M}onodromy {D}efects in the
                      {W}ess-{Z}umino {M}odel},
      reportid     = {PUBDB-2021-03478, arXiv:2108.05107. DESY-21-119},
      year         = {2021},
      abstract     = {We use analytical bootstrap techniques to study
                      supersymmetric monodromy defects in the critical Wess-Zumino
                      model. In preparation for our main result we first study two
                      related systems which are interesting on their own: general
                      monodromy defects (no susy), and the $\varepsilon$-expansion
                      bootstrap for the Wess-Zumino model (no defects). For
                      general monodromy defects we discuss some subtleties
                      specific to the codimension two case. In particular,
                      conformal blocks and the Lorentzian inversion formula have
                      to be slightly modified in order to accommodate odd-spin
                      operators that can have a non-zero one-point function. In
                      the Wess-Zumino model we initiate the
                      $\varepsilon$-expansion bootstrap for four-point functions
                      of chiral operators, with the goal of obtaining spectral
                      information about the bulk theory. We then proceed to tackle
                      the harder technical problem of analyzing monodromy defects
                      in the presence of supersymmetry. We use inversion formula
                      technology and spectral data coming from our four-point
                      function analysis, in order to completely bootstrap
                      two-point functions of chiral operators at leading order in
                      $\varepsilon$. Our result can be written in terms of novel
                      special functions which we analyze in detail, and allows us
                      to efficiently extract the CFT data that characterizes the
                      correlator.},
      keywords     = {n-point function, 4 (INSPIRE) / operator, chiral (INSPIRE)
                      / higher-order, 0 (INSPIRE) / field theory, conformal
                      (INSPIRE) / defect (INSPIRE) / monodromy (INSPIRE) /
                      bootstrap (INSPIRE) / Wess-Zumino model (INSPIRE) / spectral
                      (INSPIRE) / supersymmetry (INSPIRE) / conformal block
                      (INSPIRE) / two-point function (INSPIRE) / correlation
                      function (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2108.05107},
      howpublished = {arXiv:2108.05107},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2108.05107;\%\%$},
      doi          = {10.3204/PUBDB-2021-03478},
      url          = {https://bib-pubdb1.desy.de/record/462577},
}