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@ARTICLE{Isachenkov:307644,
      author       = {Isachenkov, Mikhail and Schomerus, Volker},
      title        = {{S}uperintegrability of $d$-{D}imensional {C}onformal
                      {B}locks},
      journal      = {Physical review letters},
      volume       = {117},
      number       = {7},
      issn         = {1079-7114},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PUBDB-2016-03319, DESY-16-026},
      pages        = {071602},
      year         = {2016},
      abstract     = {We observe that conformal blocks of scalar four-point
                      functions in a $d$-dimensional conformal fieldtheory can be
                      mapped to eigenfunctions of a two-particle hyperbolic
                      Calogero-Sutherland Hamiltonian.The latter describes two
                      coupled Pöschl-Teller particles. Their interaction, whose
                      strength dependssmoothly on the dimension $d$, is known to
                      be superintegrable. Our observation enables us to exploit
                      the richmathematical literature on Calogero-Sutherland
                      models in deriving various results for conformal
                      fieldtheory. These include an explicit construction of
                      conformal blocks in terms of Heckman-Opdamhypergeometric
                      functions. We conclude with a short outlook, in particular,
                      on the consequences ofintegrability for the theory of
                      conformal blocks.},
      cin          = {T},
      ddc          = {550},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611) / GATIS -
                      Gauge Theory as an Integrable System (317089) / EXQFT -
                      Exact Results in Quantum Field Theory (335182)},
      pid          = {G:(DE-HGF)POF3-611 / G:(EU-Grant)317089 /
                      G:(EU-Grant)335182},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      UT           = {WOS:000381477500001},
      pubmed       = {pmid:27563949},
      doi          = {10.1103/PhysRevLett.117.071602},
      url          = {https://bib-pubdb1.desy.de/record/307644},
}