Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: \chi-Systems for Correlation Functions   We consider the strong coupling limit of 4-point functions of heavy operators
in N=4 SYM dual to strings with no spin in AdS. We restrict our discussion for
operators inserted on a line. The string computation factorizes into a
state-dependent sphere part and a universal AdS contribution which depends only
on the dimensions of the operators and the cross ratios. We use the
integrability of the AdS string equations to compute the AdS part for operators
of arbitrary conformal dimensions. The solution takes the form of TBA-like
integral equations with the minimal AdS string-action computed by a
corresponding free-energy-like functional. These TBA-like equations stem from a
peculiar system of functional equations which we call a \chi-system. In
principle one could use the same method to solve for the AdS contribution in
the N-point function. An interesting feature of the solution is that it encodes
multiple string configurations corresponding to different classical
saddle-points. The discrete data that parameterizes these solutions enters
through the analog of the chemical-potentials in the TBA-like equations.
Finally, for operators dual to strings spinning in the same equator in S^5
(i.e. BPS operators of the same type) the sphere part is simple to compute. In
this case (which is generically neither extremal nor protected) we can
construct the complete, strong-coupling 4-point function.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat