The Classical R-Matrix of AdS/CFT and its Lie Dialgebra Structure View Full Text


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Article Info

DATE

2011-03

AUTHORS

Benoît Vicedo

ABSTRACT

The classical integrable structure of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Z}_4}$$\end{document}-graded supercoset σ-models, arising in the AdS/CFT correspondence, is formulated within the R-matrix approach. The central object in this construction is the standard R-matrix of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Z}_4}$$\end{document}-twisted loop algebra. However, in order to correctly describe the Lax matrix within this formalism, the standard inner product on this twisted loop algebra requires a further twist induced by the Zhukovsky map, which also plays a key role in the AdS/CFT correspondence. The non-ultralocality of the σ-model can be understood as stemming from this latter twist since it leads to a non-skew-symmetric R-matrix. More... »

PAGES

249-274

References to SciGraph publications

  • 1977-02. A sketch of Lie superalgebra theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2005-05-24. The factorized S-matrix of CFT/AdS in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Hamiltonian dynamics and the hidden symmetries of the AdS5 × S5 superstring in JOURNAL OF HIGH ENERGY PHYSICS
  • 1983-10. What is a classical r-matrix? in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1999-04. The Large-N Limit of Superconformal Field Theories and Supergravity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2007-04-10. Current algebra and integrability of principal chiral model on the world-sheet with general metric in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-07-05. Note about integrability and gauge fixing for bosonic string on AdS5 ? S5 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-03-03. Weakly coupled 𝒩 = 4 Super Yang-Mills and 𝒩 = 6 Chern-Simons theories from u(2|2) Yangian symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-01. The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2009-01-08. The classical exchange algebra of AdS 5 × S 5 string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-11-14. The algebra of flat currents for the string on AdS5 × S5 in the light-cone gauge in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-10-07. A relation between approaches to integrability in superconformal Yang-Mills theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-11-24. A crossing–symmetric phase for AdS5 × S5 strings in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-03-12. A symplectic structure for string theory on integrable backgrounds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-03-06. The Bethe-ansatz for 𝒩 = 4 super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-05. Strings on semisymmetric superspaces in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. Integrability and the AdS3/CFT2 correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-12-23. The algebra of transition matrices for the AdS5 × S5 superstring in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-09-29. Superstrings on AdS4 × ℂℙ3 as a coset sigma-model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-06-02. Planar 𝒩 = 4 gauge theory and the Inozemtsev long range spin chain in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/s11005-010-0446-9

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