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| 001 | 208568 | ||
| 005 | 20250730112515.0 | ||
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| 024 | 7 | _ | |a 1432-0916 |2 ISSN |
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| 088 | _ | _ | |a arXiv:1401.6104 |2 arXiv |
| 100 | 1 | _ | |a Iorgov, N. |b 0 |
| 245 | _ | _ | |a Isomonodromic Tau-Functions from Liouville Conformal Blocks |
| 260 | _ | _ | |a Berlin |c 2015 |b Springer |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 500 | _ | _ | |a OA |
| 520 | _ | _ | |a 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 \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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| 700 | 1 | _ | |a Lisovyy, O. |b 1 |
| 700 | 1 | _ | |a Teschner, J. |0 P:(DE-H253)PIP1005175 |b 2 |e Corresponding Author |u desy |
| 773 | _ | _ | |a 10.1007/s00220-014-2245-0 |g Vol. 336, no. 2, p. 671 - 694 |0 PERI:(DE-600)1458931-x |n 2 |p 671 - 694 |t Communications in mathematical physics |v 336 |y 2015 |x 1432-0916 |
| 787 | 0 | _ | |a Iorgov, N. et.al. |d 2014 |i IsParent |0 DESY-2014-02606 |r DESY-14-012; arXiv:1401.6104 |t Isomonodromic tau-functions from Liouville conformal blocks |
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