2006/08/31 by Jan Plefka, Fabian Spill, Алессандро Торриелли +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1103/physrevd.74.066008
published as Phys.Rev. D74 (2006) 066008 · 12 pages, no figures, minor changes, typos corrected, comments and references added, v3: three references added
arxiv created 2006/09/04 · openalex publication_date 2006/09/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
We formulate the Hopf algebra underlying the \mathfraks\mathfraku(2|2) world sheet S-matrix of the AdS5\ifmmode×\else\texttimes\fiS5 string in the AdS/CFT correspondence. For this we extend the previous construction in the \mathfraks\mathfraku(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.