Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions of the Gaudin Equation and Gaudin Algebras   Three well-known solutions of the Gaudin equation are obtained under a set of
standard assumptions. By relaxing one of these assumptions we introduce a class
of mutually commuting Hamiltonians based on a different solution of the Gaudin
equation. Application of the algebraic Bethe ansatz technique to diagonalize
these Hamiltonians reveals a new infinite dimensional complex Lie algebra.

3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin