An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry

Details An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry

2008-03-09

arxiv.org/abs/0803.1212v3

JHEP0804:022,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 3 figures, v3: minor changes and references added

Scientific paper

10.1088/1126-6708/2008/04/022

In the su(2|2) spin chain motivated by the AdS/CFT correspondence, a novel symmetry extending the superalgebra su(2|2) into u(2|2) was found. We pursue the origin of this symmetry in the exceptional superalgebra d(2,1;epsilon), which recovers su(2|2) when the parameter epsilon is taken to zero. Especially, we rederive the Yangian symmetries of the AdS/CFT spin chain using the exceptional superalgebra and find that the epsilon-correction corresponds to the novel symmetry. Also, we reproduce the non-canonical classical r-matrix of the AdS/CFT spin chain expressed with this symmetry from the canonical one of the exceptional algebra.

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