TY  - JOUR
AU  - Iorgov, N.
AU  - Lisovyy, O.
AU  - Teschner, J.
TI  - Isomonodromic Tau-Functions from Liouville Conformal Blocks
JO  - Communications in mathematical physics
VL  - 336
IS  - 2
SN  - 1432-0916
CY  - Berlin
PB  - Springer
M1  - PUBDB-2015-01774
M1  - DESY-14-012
M1  - arXiv:1401.6104
SP  - 671 - 694
PY  - 2015
N1  - OA
AB  - 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.
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000351405100005
DO  - DOI:10.1007/s00220-014-2245-0
UR  - https://bib-pubdb1.desy.de/record/208568
ER  -