Classical integrability and super Yangian of superstring on AdS5 x S5

被引：0
|
作者：
Hatsuda, Machiko [1 ]
Yoshida, Kentaroh
机构：
[1] KEK, High Energy Accelerator Res Org, Div Theory, Tsukuba, Ibaraki 3050801, Japan
[2] Urawa Univ, Saitama 3360974, Japan
来源：
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2005年 / 9卷 / 05期
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D O I：
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中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We discuss a classical integrability in the type IIB string theory on the AdS(5) x S-5 background. By using the Roiban - Siegel formulation of the superstring on the AdS(5) x S-5, we carefully treat the Wess - Zumino term and the constraint conditions intrinsic to the supersymmetric case and construct explicitly non-local charges for a hidden infinite-dimensional symmetry. The existence of the symmetry is shown by Bena - Polchinski - Roiban. Then the super Yangian algebra is calculated. We also show the Serre relation ensuring the structure of the Hopf algebra. In addition, the classical integrability is discussed by constructing the Lax pair and the transfer matrix.
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页码：703 / 728
页数：26
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