Speaker
Yurii Zhuravlov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
Description
In this talk, I will explain how rank 5/2 representations of Virasoro algebra can be used to compute asymptotic expansion of the tau function of Painleve 1 equation near irregular singularity. The talk is based on recent paper of Hasmik Poghosyan and Rubik Poghossian, where they introduced conformal block with irregular vertex of rank 5/2 and conjectured that it is related to the partition function of H_0 Argyres--Douglas theory. Additionally, I will present some improvements of this construction, which is the part of ongoing paper in collaboration with Oleg Lisovyy, Nikolai Iorgov and Kohei Iwaki.
Primary author
Yurii Zhuravlov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
Co-authors
Nikolai Iorgov
(Bogolyubov Institute for Theoretical Physics)
Oleg Lisovyy
(Institut Denis-Poisson, Université de Tours)
Kohei Iwaki
(The University of Tokyo)
