An exceptional algebraic origin of the AdS/CFT Yangian symmetry

DOI10.1088/1126-6708/2008/04/022zbMath1246.81376arXiv0803.1212OpenAlexW2043483503MaRDI QIDQ446641

Takuya Matsumoto, Sanefumi Moriyama

Publication date: 8 September 2012

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1212

zbMATH Keywords

\(\mathfrak s\mathfrak u(2|2)\) spin chainAdS/CFT Yangian symmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

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• Finite-size effects from giant magnons
• A brief introduction to the Bethe ansatz in super-Yang–Mills
• The off-shell symmetry algebra of the light-cone AdS₅×S⁵superstring
• Irreducible representations of the exceptional Lie superalgebras D(2,1;α)
• QUANTUM INTEGRABILITY OF COUPLED N=1 SUPER SINE/SINH–GORDON THEORIES AND THE LIE SUPERALGEBRA D(2,1;α)
• INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY
• Solutions of the classical Yang-Baxter equation for simple Lie algebras