论文标题

$ \ MATHCAL {n} =(2,2)$ supersmmetric仪表理论的单数BPS边界条件

Singular BPS boundary conditions in $\mathcal{N} = (2,2)$ supersymmetric gauge theories

论文作者

Okazaki, Tadashi, Smith, Douglas J.

论文摘要

我们以二维$ \ MATHCAL {n} =(2,2)$ supersymmetric仪表理论得出一般的BPS边界条件。我们分析了这些边界条件的解决方案,尤其是那些允许散装场在边界上具有极点的解决方案。我们还提供了$ \ Mathcal {n} =(2,2)$ SuperSymmetric Gauge理论的Bran {n} =(2,2)的Brane配置,就IIA类型字符串理论中的Branes而言。我们发现,A型和B型Brane配置都将M2-branes的系统提升为M5-Brane的系统,该系统以$ \ Mathbb {C}^2 $的Holomorthic Curve的产物包裹在M5-Brane上,并带有特殊的Lagrangian 3-cycle in $ \ Mathbb {C} c} c} c}^$。

We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $\mathcal{N}=(2,2)$ supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in $\mathbb{C}^2$ with a special Lagrangian 3-cycle in $\mathbb{C}^3$.

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