Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum chains with a Catalan tree pattern of conserved charges: the
  $\Delta = -1$ XXZ model and the isotropic octonionic chain   A class of quantum chains possessing a family of local conserved charges with
a Catalan tree pattern is studied. Recently, we have identified such a
structure in the integrable $SU(N)$-invariant chains. In the present work we
find sufficient conditions for the existence of a family of charges with this
structure in terms of the underlying algebra. Two additional systems with a
Catalan tree structure of conserved charges are found. One is the spin 1/2 XXZ
model with $\Delta=-1$. The other is a new octonionic isotropic chain,
generalizing the Heisenberg model. This system provides an interesting example
of an infinite family of noncommuting local conserved quantities.

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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin