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@ARTICLE{ComanLohi:434677,
      author       = {Coman-Lohi, Ioana and Pomoni, Elli and Teschner, Jörg},
      title        = {{T}oda {C}onformal {B}locks, {Q}uantum {G}roups, and {F}lat
                      {C}onnections},
      journal      = {Communications in mathematical physics},
      volume       = {-},
      issn         = {1432-0916},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2020-00238},
      pages        = {-},
      year         = {2019},
      note         = {© The Author(s)},
      abstract     = {This paper investigates the relations between the Toda
                      conformal field theories,quantum group theory and the
                      quantisation of moduli spaces of flat connections.We use the
                      free field representation of theW-algebras to define natural
                      bases for spacesof conformal blocks of the Toda conformal
                      field theory associated to the Lie algebrasl3 on the
                      three-punctured sphere with representations of generic type
                      associated to thethree punctures. The operator-valued
                      monodromies of degenerate fields can be used todescribe the
                      quantisation of the moduli spaces of flat SL(3)-connections.
                      It is shown thatthe matrix elements of the monodromies can
                      be expressed as Laurent polynomials ofmore elementary
                      operatorswhich have a simple definition in the free field
                      representation.These operators are identified as quantised
                      counterparts of natural higher rank analogsof the
                      Fenchel–Nielsen coordinates from Teichmüller theory.
                      Possible applications tothe study of the non-Lagrangian SUSY
                      field theories are briefly outlined.},
      cin          = {T},
      ddc          = {510},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF3-611)},
      pid          = {G:(DE-HGF)POF3-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000494770400001},
      doi          = {10.1007/s00220-019-03617-y},
      url          = {https://bib-pubdb1.desy.de/record/434677},
}