Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM

Details Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM

2006-10-26

arxiv.org/abs/hep-th/0610283v2

J.Phys.A40:1141-1152,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, v2: minor corrections

Scientific paper

10.1088/1751-8113/40/5/018

We present the perturbative Yangian symmetry at next-to-leading order in the su(2|1) sector of planar N=4 SYM. Just like the ordinary symmetry generators, the bi-local Yangian charges receive corrections acting on several neighboring sites. We confirm that the bi-local Yangian charges satisfy the necessary conditions: they transform in the adjoint of su(2|1), they commute with the dilatation generator, and they satisfy the Serre relations. This proves that the sector is integrable at two loops.

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