Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains   An interesting type of spin chain has appeared in the context of the planar
AdS/CFT correspondence: It is based on an integrable nearest-neighbor spin
chain, and it is perturbatively deformed by long-range interactions which
apparently preserve the integrable structure. Similar models can be constructed
by demanding the existence of merely one conserved local charge. Although the
latter is not a sufficient integrability condition in general, the models often
display convincing signs of full integrability.
  Here we consider a class of long-range spin chains with spins transforming in
the fundamental representation of gl(N). For the most general such model with
one conserved local charge we construct a conserved Yangian generator and show
that it obeys the Serre relations. We thus provide a formal proof of
integrability for this class of models.

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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: nucl-th