Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems   We explore the relationship between the SU(2) sector of a general integrable
field theory and the all-loop guess for the anomalous dimensions of SU(2)
operators in N=4 super Yang-Mills theory. We demonstrate that the SU(2)
structure of a nested Bethe ansatz alone reproduces much of the all-loop guess
without depending on the details of the particular field theory. We speculate
on the implications of this for strings in AdS_5 X S^5 being described by the
multi-particle states of an integrable worldsheet theory, and relate the
techniques here to the known relationship between the Hubbard model and the
all-loop guess.

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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc