%0 Journal Article
%A Iorgov, N.
%A Lisovyy, O.
%A Teschner, J.
%T Isomonodromic Tau-Functions from Liouville Conformal Blocks
%J Communications in mathematical physics
%V 336
%N 2
%@ 1432-0916
%C Berlin
%I Springer
%M PUBDB-2015-01774
%M DESY-14-012
%M arXiv:1401.6104
%P 671 - 694
%D 2015
%Z OA
%X The goal of this note is to show that the Riemann-Hilbert problem to find multivalued analytic functions with SL(2,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 . We briefly discuss a possible application of our results to the study of relations between certain N=2 supersymmetric gauge theories and conformal field theory.
%F PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
%9 ReportJournal Article
%U <Go to ISI:>//WOS:000351405100005
%R 10.1007/s00220-014-2245-0
%U https://bib-pubdb1.desy.de/record/208568