# BFKL spectrum of N$$ \mathcal{N} $$ = 4: non-zero conformal spin

@article{Alfimov2018BFKLSO, title={BFKL spectrum of N\$\$ \mathcal\{N\} \$\$ = 4: non-zero conformal spin}, author={M. Alfimov and N. Gromov and G. Sizov}, journal={Journal of High Energy Physics}, year={2018}, volume={2018}, pages={1-78} }

A bstractWe developed a general non-perturbative framework for the BFKL spectrum of planar N$$ \mathcal{N} $$ = 4 SYM, based on the Quantum Spectral Curve (QSC). It allows one to study the spectrum in the whole generality, extending previously known methods to arbitrary values of conformal spin n. We show how to apply our approach to reproduce all known perturbative results for the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue and get new predictions. In particular, we re-derived the… Expand

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Abstract
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In attempt to find a proper space of function expressing the eigenvalue of the color-singlet BFKL equation in N = 4 SYM, we consider an analytic continuation of harmonic sums from positive even… Expand

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We discuss reflections identities of harmonic sums up to weight three. The need for this kind of identities emerges in analysis of the general structure of eigenvalue of the BFKL equation. The… Expand

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