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

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.

13 pages, v2: minor corrections

References in corpus (2)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz

Cited by in corpus (12)

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• Yangians, S-matrices and AdS/CFT
• A Yangian Double for the AdS/CFT Classical r-matrix
• Yangian symmetry of the Y=0 maximal giant graviton
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• The su(2|3) Undynamic Spin Chain
• Structure of the string R-matrix
• Aspects of Integrability in N =4 SYM