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

TL;DR

This paper investigates the higher conserved charges in the sl(2) sector of N=4 SYM, providing evidence that a generalized reciprocity principle applies beyond the energy to all charges at both weak and strong coupling levels.

Contribution

It demonstrates that the generalized Gribov-Lipatov reciprocity holds for all higher conserved charges in the sl(2) sector, extending previous understanding beyond the energy.

Findings

Reciprocity holds for all higher charges at multi-loop weak coupling.

Reciprocity applies at the classical strong coupling level for dual folded strings.

Evidence is provided for twist L=2 and 3 operators.

Abstract

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.