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@ARTICLE{Frenkel:274934,
      author       = {Frenkel, Edward and Gukov, Sergei and Teschner, Joerg},
      title        = {{S}urface {O}perators and {S}eparation of {V}ariables},
      reportid     = {PUBDB-2015-03702, arXiv:1506.07508. DESY-15-106.
                      CALT-2015-032},
      year         = {2015},
      abstract     = {Alday, Gaiotto, and Tachikawa conjectured relations between
                      certain 4d N=2 supersymmetric field theories and 2d
                      Liouville conformal field theory. We study generalizations
                      of these relations to 4d theories with surface operators.
                      For one type of surface operators the corresponding 2d
                      theory is the WZW model, and for another type - the
                      Liouville theory with insertions of extra degenerate fields.
                      We show that these two 4d theories with surface operators
                      exhibit an IR duality, which reflects the known relation
                      (the so-called separation of variables) between the
                      conformal blocks of the WZW model and the Liouville theory.
                      Furthermore, we trace this IR duality to a brane creation
                      construction relating systems of M5 and M2 branes in
                      M-theory. Finally, we show that this duality may be
                      expressed as an explicit relation between the generating
                      functions for the changes of variables between natural sets
                      of Darboux coordinates on the Hitchin moduli space.},
      keywords     = {operator: surface (INSPIRE) / field theory: Liouville
                      (INSPIRE) / supersymmetry: 2 (INSPIRE) / duality (INSPIRE) /
                      Wess-Zumino-Witten model (INSPIRE) / M-brane (INSPIRE) /
                      conformal block (INSPIRE) / moduli space (INSPIRE) /
                      M-theory (INSPIRE)},
      cin          = {T},
      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)25 / PUB:(DE-HGF)15},
      eprint       = {1506.07508},
      howpublished = {arXiv:1506.07508},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1506.07508;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/274934},
}