Solving the AdS/CFT Y-system

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• 作者：Nikolay Gromov (12) nikolay.gromov@kcl.ac.uk
  Vladimir Kazakov (34) kazakov@lpt.ens.fr
  Sebastien Leurent (3) leurent@lpt.ens.fr
  Dmytro Volin (56) dvolin@psu.edu
• 关键词：Keywords AdS ; CFT Correspondence – ; Supersymmetric gauge theory – ; Bethe Ansatz – ; Integrable Field Theories
• 刊名：Journal of High Energy Physics
• 出版年：2012
• 出版时间：July 2012
• 年：2012
• 卷：2012
• 期：7
• 全文大小：1.3 MB
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• 作者单位：1. Mathematics Department, King鈥檚 College London, The Strand, London, WC2R 2LS U.K.2. St.Petersburg INP, Gatchina, 188 300 St.Petersburg, Russia3. LPT, 脡cole Normale Sup茅rieure, 24 rue Lhomond, 75005 Paris, France4. Universit茅 Paris-VI, Place Jussieu, 75005 Paris, France5. Department of Physics, The Pennsylvania State University, University Park, PA 16802, U.S.A.6. Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna str, Kyiv, 03680 Ukraine
• ISSN：1029-8479

文摘

Using integrability and analyticity properties of the AdS₅/CFT₄ Y-system we reduce it to a finite set of nonlinear integral equations. The \mathbbZ₄ {{\mathbb{Z}}_4} symmetry of the underlying coset sigma model, in its quantum version, allows for a deeper insight into the analyticity structure of the corresponding Y-functions and T-functions, as well as for their analyticity friendly parameterization in terms of Wronskian determinants of Q-functions. As a check for the new equations, we reproduce the numerical results for the Konishi operator previously obtained from the original infinite Y-system.