论文标题
4D Chern-Simons理论和Cherkis弓的线运算符
Line Operators in 4d Chern-Simons Theory and Cherkis Bows
论文作者
论文摘要
我们表明，在4D Chern-Simons理论中，具有$ \ text {gl} _n $ gauge组的大型线路运营商的相位空间由带有$ n $ crosses的Cherkis Bow品种给出。这些线路运算符的特征是汉纳尼（Hanany-Witten）类型的brane构造，涉及$ω$ - background中的D3，D5和NS5麸皮。链接D3 Brane理论的五抗和质量参数的数字决定了相位空间，在特殊情况下，它们对应于3D $ \ MATHCAL {N} = 4 $ Quiver Theories的真空模量空间。示例包括在可集成的旋转链中创建T，Q和L-operators的线路运算符。
We show that the phase spaces of a large family of line operators in 4d Chern-Simons theory with $\text{GL}_n$ gauge group are given by Cherkis bow varieties with $n$ crosses. These line operators are characterized by Hanany-Witten type brane constructions involving D3, D5, and NS5 branes in an $Ω$-background. Linking numbers of the five-branes and mass parameters for the D3 brane theories determine the phase spaces and in special cases they correspond to vacuum moduli spaces of 3d $\mathcal{N}=4$ quiver theories. Examples include line operators that conjecturally create T, Q, and L-operators in integrable spin chains.
