Reciprocity of higher conserved charges in the~$\mathfrak{sl}(2)$ sector of the~$\mathcal{N}{=}4$ supersymmetric Yang--Mills theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 479-483

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We extend the analysis of the generalized Gribov–Lipatov reciprocity to the higher conserved charges of the type-IIB superstring on AdS$_5\times S^5$. We show that the property holds for operators of twist $L=2$ and $L=3$ in the $\mathfrak{sl}(2)$ subsector.
Keywords: AdS/CFT correspondence, integrability, reciprocity.
@article{TMF_2011_167_3_a11,
     author = {G. Macorini and M. Beccaria},
     title = {Reciprocity of higher conserved charges in the~$\mathfrak{sl}(2)$ sector of the~$\mathcal{N}{=}4$ supersymmetric {Yang--Mills} theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {479--483},
     publisher = {mathdoc},
     volume = {167},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a11/}
}
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G. Macorini; M. Beccaria. Reciprocity of higher conserved charges in the~$\mathfrak{sl}(2)$ sector of the~$\mathcal{N}{=}4$ supersymmetric Yang--Mills theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 479-483. http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a11/