Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On solutions of the Fuji-Suzuki-Tsuda system   We derive Fredholm determinant and series representation of the tau function
of the Fuji-Suzuki-Tsuda system and its multivariate extension, thereby
generalizing to higher rank the results obtained for Painlev\'e VI and the
Garnier system. A special case of our construction gives a higher rank analog
of the continuous hypergeometric kernel of Borodin and Olshanski. We also
initiate the study of algebraic braid group dynamics of semi-degenerate
monodromy, and obtain as a byproduct a direct isomonodromic proof of the AGT-W
relation for $c=N-1$.

5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph