论文标题
$ ads_5 \ times s^5 $ superstring的所有约旦变形
All Jordanian deformations of the $AdS_5 \times S^5$ superstring
论文作者
论文摘要
我们在$ \ mathfrak {psu}（2,2 | 4）$上明确构建和分类了经典Yang-baxter方程的所有约旦解决方案，对应于Jordanian Yang-baxter的变形。这种变形保留了基础Sigma模型的经典集成性，因此是所有可能的整合变形的子类。我们认为的变形被分为两个家庭，即单模型和非模仿。前者确保变形背景仍然是IIB型超级方程的解决方案。对于最简单的单模型解决方案，我们发现相应的背景保留了数字$ n <32 $的增压，可以为$ n = 12,8,6,4,0 $。
We explicitly construct and classify all Jordanian solutions of the classical Yang-Baxter equation on $\mathfrak{psu}(2,2|4)$, corresponding to Jordanian Yang-Baxter deformations of the $AdS_5\times S^5$ superstring. Such deformations preserve the classical integrability of the underlying sigma-model and thus are a subclass of all possible integrable deformations. The deformations that we consider are divided into two families, unimodular and non-unimodular ones. The former ensure that the deformed backgrounds are still solutions of the type IIB supergravity equations. For the simplest unimodular solutions, we find that the corresponding backgrounds preserve a number $N<32$ of supercharges that can be $N=12,8,6,4,0$.
