Reciprocity and integrability in the sl(2) sector of N=4 SYM

Details Reciprocity and integrability in the sl(2) sector of N=4 SYM Reciprocity and integrability in the sl(2) sector of N=4 SYM

2009-10-24

arxiv.org/abs/0910.4630v3

JHEP 1001:031,2010

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, improved bibliography

Scientific paper

10.1007/JHEP01(2010)031

We analyze the higher conserved charges of type IIB superstring on AdS5 x S5 from the perspective of a recently discovered generalized Gribov-Lipatov reciprocity. We provide several evidences that reciprocity holds for all the higher charges and not only for the energy. This is discussed in the simple case of twist L=2, and 3 operators in the sl(2) subsector at (a) multi-loop level in weak coupling, (b) classical level at strong coupling for the dual folded string.

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