On the Hopf algebra structure of the AdS/CFT S-matrix

Details On the Hopf algebra structure of the AdS/CFT S-matrix On the Hopf algebra structure of the AdS/CFT S-matrix

2006-08-04

arxiv.org/abs/hep-th/0608038v3

Phys.Rev. D74 (2006) 066008

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, minor changes, typos corrected, comments and references added, v3: three references added

Scientific paper

10.1103/PhysRevD.74.066008

We formulate the Hopf algebra underlying the su(2|2) worldsheet S-matrix of the AdS_5 x S^5 string in the AdS/CFT correspondence. For this we extend the previous construction in the su(1|2) subsector due to Janik to the full algebra by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by length-changing effects and results in an unusual central braiding. As an application we explicitly determine the antiparticle representation by means of the established antipode.

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