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Statut |
Confirmé |
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Série |
IPHT-PHM |
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Domaines |
math-ph |
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Date |
Lundi 22 Septembre 2014 |
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Heure |
11:00 |
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Institut |
IPHT |
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Salle |
Salle Claude Itzykson, Bât. 774, Orme des Merisiers |
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Nom de l'orateur |
Oleg Lisovyy |
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Prenom de l'orateur |
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Addresse email de l'orateur |
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Institution de l'orateur |
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Titre |
Isomonodromic tau functions from Liouville conformal blocks |
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Résumé |
I will 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 will thereby express the general solution of Painlevé VI equation in terms of 4-point conformal blocks. Time permitting, I will discuss how the c=1 fusion kernel can be calculated explicitly using this Painlevé/CFT relation. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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