Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The tau_2-model and the chiral Potts model revisited: completeness of
  Bethe equations from Sklyanin's SOV method   The most general cyclic representations of the quantum integrable tau_2-model
are analyzed. The complete characterization of the tau_2-spectrum (eigenvalues
and eigenstates) is achieved in the framework of Sklyanin's Separation of
Variables (SOV) method by extending and adapting the ideas first introduced in
[1, 2]: i) The determination of the tau_2-spectrum is reduced to the
classification of the solutions of a given functional equation in a class of
polynomials. ii) The determination of the tau_2-eigenstates is reduced to the
classification of the solutions of an associated Baxter equation. These last
solutions are proven to be polynomials for a quite general class of
tau_2-self-adjoint representations and the completeness of the associated Bethe
ansatz type equations is derived. Finally, the following results are derived
for the inhomogeneous chiral Potts model: i) Simplicity of the spectrum, for
general representations. ii) Complete characterization of the chiral Potts
spectrum (eigenvalues and eigenstates) and completeness of Bethe ansatz type
equations, for the self-adjoint representations of tau_2-model on the chiral
Potts algebraic curves.

0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs