Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings   We generalize various existing higher-loop Bethe ansaetze for simple sectors
of the integrable long-range dynamic spin chain describing planar N=4 Super
Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to
arbitrary loop order. We perform a large number of tests of our conjectured
equations, such as internal consistency, comparison to direct three-loop
diagonalization and expected thermodynamic behavior. In the special case of the
su(1|2) subsector, corresponding to a long-range t-J model, we are able to
derive, up to three loops, the S-matrix and the associated nested Bethe ansatz
from the gauge theory dilatation operator. We conjecture novel all-order
S-matrices for the su(1|2) and su(1,1|2) subsectors, and show that they satisfy
the Yang-Baxter equation. Throughout the paper, we muse about the idea that
quantum string theory on AdS_5xS^5 is also described by a psu(2,2|4) spin
chain. We propose asymptotic all-order Bethe equations for this putative
"string chain", which differ in a systematic fashion from the gauge theory
equations.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys