This Review details the relationship between the isomonodromic tau-function and conformal blocks on a torus with one simple pole. It is based on the author’s talk at ICMP 2021.
For the ease of notation, we the keep the notation of the kernels .
The explicit form of the Fourier coefficients is not relevant for the purposes of this Review but is computed in Ref. 5.
Since s ∈ I, the hole positions in the corresponding Maya diagram m are , and since r ∈ J, the particle positions are .