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@INPROCEEDINGS{Vliet:490931,
      author       = {Vliet, Philine Julia van},
      title        = {{T}he {C}onformal {B}ootstrap: exploring line defects with
                      ${O}(2)$ symmetry.},
      school       = {University of Groningen},
      reportid     = {PUBDB-2022-08131},
      year         = {2022},
      abstract     = {The conformal bootstrap is a powerful and nonperturbative
                      method to study Conformal Field Theories (CFTs). CFTs appear
                      as critical points of an array of physical theories.They
                      describe all ranges of physics: from second-order phase
                      transitions in condensed matter to D-branes in String Theory
                      and as duals of quantum gravity in AdS.Advancements in
                      especially the numerical bootstrap have led to extremely
                      precise results for the computation of critical exponents in
                      various CFTs, and the conformal bootstrap has gained a lot
                      of attention in recent years. CFTs can be generalized by
                      adding extended objects. These extended objects, called
                      defects, break the conformal symmetry group into a smaller
                      conformal subgroup, and the resulting defect theory can be
                      studied with the (defect) bootstrap. Defects are an
                      important part of physics. They describe boundaries of
                      condensed matter systems, Wilson lines in string theories,
                      and much more.In this talk I will give a general
                      introduction to the conformal bootstrap and show how it can
                      be used to study defect theories, in particular CFTs with a
                      line defect.I will discuss recent work with Aleix
                      Gimenez-Grau, Edoardo Lauria and Pedro Liendo where we
                      explore 1d line defects with an extra O(2) symmetry.},
      organization  = {Seminar, Groningen (Netherlands)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / Emmy
                      Noether - Emmy Noether Nachwuchsgruppe (EmmyNoether)},
      pid          = {G:(DE-HGF)POF4-611 / G:(DE-DFG)EmmyNoether},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)31},
      url          = {https://bib-pubdb1.desy.de/record/490931},
}