%0 Electronic Article
%A Iorgov, N.
%A Lisovyy, O.
%A Teschner, J.
%T Isomonodromic tau-functions from Liouville conformal blocks
%N DESY-14-012
%M DESY-2014-02606
%M DESY-14-012
%M arXiv:1401.6104
%D 2014
%Z 29 pages, 4 figures
%X The goal of this note is to show that the Riemann-Hilbert problem to find multivalued analytic functions with SL(2,\mathbbC)-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 . We briefly discuss a possible application of our results to the study of relations between certain <i>N</i>=2 supersymmetric gauge theories and conformal field theory.
%K gauge field theory: supersymmetry (INSPIRE)
%K field theory: Liouville (INSPIRE)
%K field theory: conformal (INSPIRE)
%K conformal block (INSPIRE)
%K tau-function (INSPIRE)
%K Riemann surface (INSPIRE)
%K monodromy (INSPIRE)
%F PUB:(DE-HGF)25 ; PUB:(DE-HGF)15
%9 PreprintInternal Report
%U https://bib-pubdb1.desy.de/record/168709