Integrability of classical strings dual for noncommutative gauge theories
Integrability of classical strings dual for noncommutative gauge theories
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DOI：
10.1007/jhep06(2014)163
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发表时间：
2014-04
影响因子：
5.4
通讯作者：
Takuya Matsumoto;Kentaroh Yoshida
中科院分区：
文献类型：
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作者：
Takuya Matsumoto;Kentaroh Yoshida
我们从经典r-矩阵的ad5xs5超弦的Yang-Baxter σ模型描述中导出了非交换规范理论的引力对偶。相应的经典r-矩阵是1)经典Yang-Baxter方程（CYBE）的解，2)偏对称，3)幂零和4)阿贝尔。因此，这些应该被称为阿贝尔约旦变形。结果表明，重力对偶是ad5xs5的可积变形。然后研究了ad5的阿贝尔扭曲。这些结果为arXiv: 1404.1838中提出的重力/CYBE对应提供了支持。
We derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS 5× S 5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical Yang-Baxter equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, the gravity duals are shown to be integrable deformations of AdS 5× S 5. Then, abelian twists of AdS 5 are also investigated. These results provide a support for the gravity/CYBE correspondence proposed in arXiv: 1404.1838.