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Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL
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Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL
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We demonstrate that the Balitsky-Fadin-Kuraev-Lipatov regime of maximally supersymmetric Yang-Mills theory can be explicitly solved up to the L+1 order in weak coupling by uncovering a novel long-range asymptotic Baxter-Bethe ansatz for trajectories with L scalar fields. The set of equations we have found is reminiscent of the Beisert-Eden-Staudacher equations for local operators but instead applies to non-local operators corresponding to the horizontal Regge trajectories. We also verify and give new predictions for the light-ray operator spectrum by resummation of the leading singularities in our result.
Forward citations
Cited by 2 Pith papers
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The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: closed form, coefficient structure, and arithmetic
The NNLO BFKL eigenvalue of planar N=4 SYM is given in closed form at every odd conformal spin via exact Mellin extraction from the Caron-Huot–Herranen integrand, matching quantum spectral curve intercepts through n=91.
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The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills
The NNLO BFKL eigenvalue of planar N=4 SYM is now in closed form at every odd spin n, with ν=0 intercepts matching Quantum Spectral Curve data through n=91.
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