论文标题

超级空间的表面操作员

Surface Operators in Superspace

论文作者

Cremonini, Carlo Alberto, Grassi, Pietro Antonio, Penati, Silvia

论文摘要

我们将最近在Arxiv:2003.01729V2中引入的Wilson环的几何表述概括为Wilson表面的描述。对于n =(2,0)在六个维度的理论,我们提供了BPS Wilson表面的显式推导,并与标量非平凡的耦合以及它们明显的超对称版本。我们得出明确的条件,这些条件允许根据保留的增压数量对这些操作员进行分类。我们还讨论了kappa对称性,并证明了六个维度的BPS条件是由kappa对称的不对称不变性产生的。最后,我们讨论了超级维尔逊表面和更高的尺寸运算符 - 作为由张力超级流式产生的全局$ p $ - form(超级)对称的对象。为此,详细开发了超级货币和相应保守指控的保守超电流的构建。

We generalize the geometrical formulation of Wilson loops recently introduced in arXiv:2003.01729v2 to the description of Wilson Surfaces. For N=(2,0) theory in six dimensions, we provide an explicit derivation of BPS Wilson Surfaces with non-trivial coupling to scalars, together with their manifestly supersymmetric version. We derive explicit conditions which allow to classify these operators in terms of the number of preserved supercharges. We also discuss kappa-symmetry and prove that BPS conditions in six dimensions arise from kappa-symmetry invariance in eleven dimensions. Finally, we discuss super-Wilson Surfaces - and higher dimensional operators - as objects charged under global $p$-form (super)symmetries generated by tensorial supercurrents. To this end, the construction of conserved supercurrents in supermanifolds and of the corresponding conserved charges is developed in details.

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