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000208568 1001_ $$aIorgov, N.$$b0
000208568 245__ $$aIsomonodromic Tau-Functions from Liouville Conformal Blocks
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000208568 520__ $$aThe 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 \cite{GIL}. 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.
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000208568 7001_ $$aLisovyy, O.$$b1
000208568 7001_ $$0P:(DE-H253)PIP1005175$$aTeschner, J.$$b2$$eCorresponding Author$$udesy
000208568 773__ $$0PERI:(DE-600)1458931-x$$a10.1007/s00220-014-2245-0$$gVol. 336, no. 2, p. 671 - 694$$n2$$p671 - 694$$tCommunications in mathematical physics$$v336$$x1432-0916$$y2015
000208568 7870_ $$0DESY-2014-02606$$aIorgov, N. et.al.$$d2014$$iIsParent$$rDESY-14-012; arXiv:1401.6104$$tIsomonodromic tau-functions from Liouville conformal blocks
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