Quadratic relations of the deformed W superalgebra Wq,t(A(M,N)^{(1)})
Quadratic relations of the deformed W superalgebra Wq,t(A(M,N)^{(1)})
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变形 W 超代数 Wq,t(A(M,N)^{(1)}) 的二次关系
DOI：
10.1088/1751-8121/ac129f
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Takeo Kojima
中科院分区：
文献类型：
--
作者：
Saito Hiroki;Tanaka Hitoshi;Watanabe Toshikazu;内藤久資;Takeo Kojima
给出了与类型李超代数相关的形变超代数的基本电流和屏蔽电流的自由场结构。利用这种自由场结构，我们引入了高次流，并得到了它们之间的一组闭合的二次关系。这些关系与李超代数的动态图解的选择无关，尽管屏蔽电流不是。这允许我们通过生成元和关系来定义。
We find the free field construction of the basic-current and screening currents for the deformed-superalgebraassociated with Lie superalgebra of type. Using this free field construction, we introduce the higher-currents and obtain a closed set of quadratic relations among them. These relations are independent of the choice of Dynkin-diagrams for the Lie superalgebra, though the screening currents are not. This allows us to defineby generators and relations.