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arXiv · hep-th/0610283

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

Benjamin I. Zwiebel
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Abstract

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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Benjamin I. Zwiebel. 2006-11-05. Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM. https://doi.org/10.1088/1751-8113%2F40%2F5%2F018

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