Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of new integrable nineteen-vertex models and quantum
  spin-1 chains   New exactly solvable nineteen vertex models and related quantum spin-1 chains
are solved. Partition functions, excitation energies, correlation lengths, and
critical exponents are calculated. It is argued that one of the non-critical
Hamiltonians is a realization of an integrable Haldane system. The finite-size
spectra of the critical Hamiltonians deviate in their structure from standard
predictions by conformal invariance.

34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex