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@ARTICLE{Buric:485534,
      author       = {Buric, Ilija and Lacroix, Sylvain and Mann, Jeremy A. and
                      Quintavalle, Lorenzo and Schomerus, Volker},
      title        = {{G}audin models and multipoint conformal blocks {III}: comb
                      channel coordinates and {OPE} factorisation},
      reportid     = {PUBDB-2022-06689, arXiv:2112.10827},
      year         = {2022},
      note         = {41 pages, 7 figures},
      abstract     = {We continue the exploration of multipoint scalar comb
                      channel blocks for conformal field theories in 3D and 4D.
                      The central goal here is to construct novel comb channel
                      cross ratios that are well adapted to perform projections
                      onto all intermediate primary fields. More concretely, our
                      new set of cross ratios includes three for each intermediate
                      mixed symmetry tensor exchange. These variables are designed
                      such that the associated power series expansion coincides
                      with the sum over descendants. The leading term of this
                      expansion is argued to factorise into a product of lower
                      point blocks. We establish this remarkable factorisation
                      property by studying the limiting behaviour of the Gaudin
                      Hamiltonians that are used to characterise multipoint
                      conformal blocks. For six points we can map the eigenvalue
                      equations for the limiting Gaudin differential operators to
                      Casimir equations of spinning four-point blocks.},
      keywords     = {operator: differential (INSPIRE) / field theory: conformal
                      (INSPIRE) / conformal block (INSPIRE) / factorization
                      (INSPIRE) / operator product expansion (INSPIRE) /
                      Hamiltonian (INSPIRE) / Gaudin model (INSPIRE) / Casimir
                      (INSPIRE) / Scale and Conformal Symmetries (autogen) /
                      Differential and Algebraic Geometry (autogen) / Integrable
                      Hierarchies (autogen)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / SAGEX -
                      Scattering Amplitudes: from Geometry to Experiment (764850)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)764850},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2112.10827},
      howpublished = {arXiv:2112.10827},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2112.10827;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/485534},
}