Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics of the Complex su(3) Toda Theory   We present the first computation of the thermodynamic properties of the
complex su(3) Toda theory. This is possible thanks to a new string hypothesis,
which involves bound states that are non self-conjugate solutions of the Bethe
equations. Our method provides equivalently the solution of the su(3)
generalization of the XXZ chain. In the repulsive regime, we confirm that the
scattering theory proposed over the past few years - made only of solitons with
non diagonal S-matrices - is complete. But we show that unitarity does not
follow, contrary to early claims, eigenvalues of the monodromy matrix not being
pure phases. In the attractive regime, we find that the proposed minimal
solution of the bootstrap equations is actually far from being complete. We
discuss some simple values of the couplings, where, instead of the few
conjectured breathers, a very complex structure (involving E_6, or two E_8) of
bound states is necessary to close the bootstrap.

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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ