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@ARTICLE{Iorgov:168709,
      author       = {Iorgov, N. and Lisovyy, O. and Teschner, J.},
      title        = {{I}somonodromic tau-functions from {L}iouville conformal
                      blocks},
      reportid     = {DESY-2014-02606, DESY-14-012. arXiv:1401.6104},
      year         = {2014},
      note         = {29 pages, 4 figures},
      abstract     = {The goal of this note is to show that the Riemann-Hilbert
                      problem to find multivalued analytic functions with
                      $SL(2,\mathbb{C})$-valued monodromy on Riemann surfaces of
                      genus zero with $n$ punctures can be solved by taking
                      suitable linear combinations of the conformal blocks of
                      Liouville theory at $c=1$. This implies a similar
                      representation for the isomonodromic tau-function. In the
                      case $n=4$ we thereby get a proof of the relation between
                      tau-functions and conformal blocks discovered in \cite{GIL}.
                      We briefly discuss a possible application of our results to
                      the study of relations between certain $\mathcal{N}=2$
                      supersymmetric gauge theories and conformal field theory.},
      keywords     = {gauge field theory: supersymmetry (INSPIRE) / field theory:
                      Liouville (INSPIRE) / field theory: conformal (INSPIRE) /
                      conformal block (INSPIRE) / tau-function (INSPIRE) / Riemann
                      surface (INSPIRE) / monodromy (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514)},
      pid          = {G:(DE-HGF)POF2-514},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)15},
      eprint       = {1401.6104},
      howpublished = {arXiv:1401.6104},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1401.6104;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/168709},
}