论文标题
墙上的相关器和$ \ mathfrak {sl} _n $旋转链
Correlators on the wall and $\mathfrak{sl}_n$ spin chain
论文作者
论文摘要
我们研究了由4D $ \ Mathcal {n} = 4 $ Super Yang-Mills中的D5或NS5 Branes设计的半BP界面的本地操作员的代数和相关函数。该部门的操作员代数是同构的，与Yangian $ \ Mathcal {y}（\ Mathfrak {gl} _n）$的截断。相关器在扬吉安语中编码的相关器由不均匀的$ \ mathfrak {sl} _n $ spin链控制，其中$ n $是五脑的数量：它们是根据与Verma模块相关的传输矩阵元素给出的，或者是与Verma模块相关的元素，或等效的Baxter's Q-oserators of baxter's Q-oserators。这可以看作是$ \ Mathcal {n} = 4 $ Super Yang-Mills和可集成的旋转链之间的新颖联系。我们还评论了涉及半BP的威尔逊线的类似结构。
We study algebras and correlation functions of local operators at half-BPS interfaces engineered by the stacks of D5 or NS5 branes in the 4d $\mathcal{N}=4$ super Yang-Mills. The operator algebra in this sector is isomorphic to a truncation of the Yangian $\mathcal{Y}(\mathfrak{gl}_n)$. The correlators, encoded in a trace on the Yangian, are controlled by the inhomogeneous $\mathfrak{sl}_n$ spin chain, where $n$ is the number of fivebranes: they are given in terms of matrix elements of transfer matrices associated to Verma modules, or equivalently of products of Baxter's Q-operators. This can be viewed as a novel connection between the $\mathcal{N}=4$ super Yang-Mills and integrable spin chains. We also remark on analogous constructions involving half-BPS Wilson lines.
