Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinant representation of the domain-wall boundary condition
  partition function of a Richardson-Gaudin model containing one arbitrary spin   In this work we present a determinant expression for the domain-wall boundary
condition partition function of rational (XXX) Richardson-Gaudin models which,
in addition to $N-1$ spins $\frac{1}{2}$, contains one arbitrarily large spin
$S$.
  The proposed determinant representation is written in terms of a set of
variables which, from previous work, are known to define eigenstates of the
quantum integrable models belonging to this class as solutions to quadratic
Bethe equations. Such a determinant can be useful numerically since systems of
quadratic equations are much simpler to solve than the usual highly non-linear
Bethe equations. It can therefore offer significant gains in stability and
computation speed.

33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga