Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cyclotomic family of thin hypergeometric monodromy groups in
  ${Sp}_4(\mathbb{R})$   We exhibit an infinite family of discrete subgroups of ${Sp}_4(\mathbb R)$
which have a number of remarkable properties. Our results are established by
showing that each group plays ping-pong on an appropriate set of cones. The
groups arise as the monodromy of hypergeometric differential equations with
parameters $\left(\tfrac{N-3}{2N},\tfrac{N-1}{2N}, \tfrac{N+1}{2N},
\tfrac{N+3}{2N}\right)$ at infinity and maximal unipotent monodromy at zero,
for any integer $N\geq 4$. Additionally, we relate the cones used for ping-pong
in $\mathbb R^4$ with crooked surfaces, which we then use to exhibit domains of
discontinuity for the monodromy groups in the Lagrangian Grassmannian.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg