001     168709
005     20211110124131.0
024 7 _ |a arXiv:1401.6104
|2 arXiv
024 7 _ |a altmetric:2068399
|2 altmetric
024 7 _ |a inspire:1278623
|2 inspire
037 _ _ |a DESY-2014-02606
088 1 _ |a DESY-14-012; arXiv:1401.6104
088 _ _ |a DESY-14-012
|2 DESY
088 _ _ |a arXiv:1401.6104
|2 arXiv
100 1 _ |a Iorgov, N.
|0 P:(DE-HGF)0
|b 0
|e Corresponding Author
245 _ _ |a Isomonodromic tau-functions from Liouville conformal blocks
260 _ _ |c 2014
336 7 _ |a preprint
|2 DRIVER
336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a Preprint
|b preprint
|m preprint
|0 PUB:(DE-HGF)25
|s 168709
|2 PUB:(DE-HGF)
336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Internal Report
|0 PUB:(DE-HGF)15
|2 PUB:(DE-HGF)
|m intrep
500 _ _ |a 29 pages, 4 figures
520 _ _ |a The goal of this note is to show that the Riemann-Hilbert problem to find multivalued analytic functions with $SL(2,\mathbb{C})$-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 $\mathcal{N}=2$ supersymmetric gauge theories and conformal field theory.
536 _ _ |0 G:(DE-HGF)POF2-514
|c POF2-514
|f POF II
|x 0
|a 514 - Theoretical Particle Physics (POF2-514)
588 _ _ |a Dataset connected to arXivarXiv
650 _ 7 |a gauge field theory: supersymmetry
|2 INSPIRE
650 _ 7 |a field theory: Liouville
|2 INSPIRE
650 _ 7 |a field theory: conformal
|2 INSPIRE
650 _ 7 |a conformal block
|2 INSPIRE
650 _ 7 |a tau-function
|2 INSPIRE
650 _ 7 |a Riemann surface
|2 INSPIRE
650 _ 7 |a monodromy
|2 INSPIRE
693 _ _ |e No specific instrument
|5 EXP:(DE-MLZ)NOSPEC-20140101
|x 0
|0 EXP:(DE-MLZ)NOSPEC-20140101
700 1 _ |a Lisovyy, O.
|0 P:(DE-HGF)0
|b 1
700 1 _ |a Teschner, J.
|0 P:(DE-H253)PIP1005175
|b 2
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856 4 _ |u https://bib-pubdb1.desy.de/record/168709/files/DESY-2014-02606.pdf
|y OpenAccess
909 C O |o oai:bib-pubdb1.desy.de:168709
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910 1 _ |a Deutsches Elektronen-Synchrotron
|0 I:(DE-588b)2008985-5
|k DESY
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|6 P:(DE-H253)PIP1005175
913 1 _ |a DE-HGF
|b Struktur der Materie
|l Elementarteilchenphysik
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|4 G:(DE-HGF)POF
|v Theoretical Particle Physics
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914 1 _ |y 2014
915 _ _ |a OpenAccess
|0 StatID:(DE-HGF)0510
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915 _ _ |a Published
|0 StatID:(DE-HGF)0580
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920 1 _ |0 I:(DE-H253)T-20120731
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|l Theorie-Gruppe
|x 0
980 _ _ |a preprint
980 _ _ |a VDB
980 _ _ |a UNRESTRICTED
980 _ _ |a FullTexts
980 _ _ |a intrep
980 _ _ |a I:(DE-H253)T-20120731
980 1 _ |a FullTexts


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