Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: N=4 SYM Quantum Spectral Curve in BFKL regime   We review the applications of the Quantum Spectral Curve (QSC) method to the
Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on
quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed
as a tool for the study of the spectrum of anomalous dimensions of local
operators in the N=4 SYM in the planar, $N_c\to\infty$ limit. We explain how to
apply the QSC for the BFKL limit, which requires non-trivial analytic
continuation in spin $S$ and extends the initial construction to non-local
light-ray operators. We give a brief review of high precision non-perturbative
numerical solutions and analytic perturbative data resulting from this
approach. We also describe as a simple example of the QSC construction the
leading order in the BFKL limit. We show that the QSC substantially simplifies
in this limit and reduces to the Faddeev-Korchemsky Baxter equation for
Q-functions. Finally, we review recent results for the Fishnet CFT, which
carries a number of similarities with the Lipatov's integrable spin chain for
interacting reggeized gluons.

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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics