Hopf algebra structure of the AdS/CFT S-matrix

Jan Plefka*, Fabian Spill, Alessandro Torrielli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

89 Citations (Scopus)

Abstract

We formulate the Hopf algebra underlying the su(2|2) world sheet S-matrix of the AdS5×S5 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.

Original languageEnglish
Article number066008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number6
DOIs
Publication statusPublished - 2006

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Nuclear and High Energy Physics
  • Mathematical Physics

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