Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Violations of the String Hypothesis in the Solutions of the Bethe Ansatz
  Equations in the XXX-Heisenberg   We study the equations for the quasi-momenta which characterize the
wave-functions in the Bethe ansatz for the XXX-Heisenberg model. We show in a
simple analytical fashion, that the usual ``string hypothesis" incorrectly
predicts the number of real solutions and the number of complex solutions for
$N>21$ in the sector with two spins flipped, confirming the work of Essler et
al. Two complex pair solutions drop out and form two additional real pair
solutions. We also introduce a new set of variables which allows the equations
to be written as a single polynomial equation in one variable. We consider in
some detail the case of three spins flipped.

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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph