Speaker
Nikolai Iorgov
(Bogolyubov Institute for Theoretical Physics)
Description
The isomonodromic tau function of the Painleve I equation can be presented as a Fourier transform of the partition function of the Argyres-Douglas theory of type $H_0$. A possible way to derive this partition function is to use the holomorphic anomaly equation (HAE) as a recursive relation for the topological expansion of corresponding free energy (logarithm of the partition function). The solution of HAE is given in terms (quasi)modular forms of $SL(2,\mathbb{Z})$. We propose a basis in the space of modular forms, allowing us to prove the uniqueness of HAE's solution.
Primary author
Nikolai Iorgov
(Bogolyubov Institute for Theoretical Physics)
Co-authors
Kohei Iwaki
(The University of Tokyo)
Oleg Lisovyy
(Institut Denis-Poisson, Université de Tours)
Yurii Zhuravlov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
