TY  - EJOUR
AU  - Iorgov, N.
AU  - Lisovyy, O.
AU  - Teschner, J.
TI  - Isomonodromic tau-functions from Liouville conformal blocks
IS  - DESY-14-012
M1  - DESY-2014-02606
M1  - DESY-14-012
M1  - arXiv:1401.6104
PY  - 2014
N1  - 29 pages, 4 figures
AB  - 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.
KW  - gauge field theory: supersymmetry (INSPIRE)
KW  - field theory: Liouville (INSPIRE)
KW  - field theory: conformal (INSPIRE)
KW  - conformal block (INSPIRE)
KW  - tau-function (INSPIRE)
KW  - Riemann surface (INSPIRE)
KW  - monodromy (INSPIRE)
LB  - PUB:(DE-HGF)25 ; PUB:(DE-HGF)15
UR  - https://bib-pubdb1.desy.de/record/168709
ER  -