论文标题
Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in四维$ \ MATHCAL {n} = 2 $ superCongrongume仪表理论
Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
论文作者
论文摘要
We construct for the first time Drukker-Trancanelli (DT) type fermionic Bogomolnyi-Prasad-Sommerfield (BPS) Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory and $\mathcal{N}=4$ super Yang-Mills theory.这些费米子BPS Wilson回路的连接具有超元素结构。我们在Minkowski时空和欧几里得空间中的圆形BPS Wilson Loops中构建了定时的BPS Wilson线。这些威尔逊回路涉及尺寸参数。对于参数的通用值，它们保留了Lorentzian（Euclidean）签名中的一个真实（复杂）增压。当参数满足某些约束时，会为威尔逊回路的超对称增强。这种环的性质与威尔逊环路运营商完全不同，威尔逊循环操作员涉及以前在文献中构建的关于四维规定理论的费米子。我们希望对这种新威尔逊循环的进一步调查将探索量规理论和量规/重力二元性的深层结构。
We construct for the first time Drukker-Trancanelli (DT) type fermionic Bogomolnyi-Prasad-Sommerfield (BPS) Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory and $\mathcal{N}=4$ super Yang-Mills theory. The connections of these fermionic BPS Wilson loops have a supermatrix structure. We construct timelike BPS Wilson lines in Minkowski spacetime and circular BPS Wilson loops in Euclidean space. These Wilson loops involve dimensionful parameters. For generic values of parameters, they preserve one real (complex) supercharge in Lorentzian (Euclidean) signature. Supersymmetry enhancement for Wilson loops happens when the parameters satisfy certain constraints. The nature of such loops is quite different from the Wilson loop operators involving fermions constructed previously in the literature on four-dimensional gauge theories. We hope that further investigations of such new Wilson loops will explore deep structures in both the gauge theories and gauge/gravity dualities.
