Supersymmetric vortex defects in two dimensions
Supersymmetric vortex defects in two dimensions
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DOI：
10.1007/jhep01(2018)033
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发表时间：
2017-05
影响因子：
5.4
通讯作者：
Kazuo Hosomichi;Sungjay Lee;T. Okuda
中科院分区：
文献类型：
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作者：
Kazuo Hosomichi;Sungjay Lee;T. Okuda
我们研究了2d\（\mathcal {N}=\left（2，\2\right）\）超对称规范场中的余维2 BPS缺陷，特别关注那些在动力学或非动力学规范场中具有涡旋奇异性的缺陷.我们分类可能的超对称性保持边界条件周围的涡旋缺陷的带电物质场，并推导出一个公式的缺陷的压缩球。我们还证明了涡旋缺陷和0 d-2d耦合系统之间的等价关系。我们的缺陷消除子与阿贝尔规范线性sigma模型和Landau-Ginzburg模型之间的镜像对称对偶以及极小模型和它的轨道之间的镜像对称对偶是一致的。我们还研究了在锥形奇点处插入的旋涡缺陷。
We study codimension-two BPS defects in 2d\(\mathcal {N}=\left (2,\2\right)\) supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field. We classify possible SUSY-preserving boundary conditions on charged matter fields around the vortex defects, and derive a formula for defect correlators on the squashed sphere. We also prove an equivalence relation between vortex defects and 0d-2d coupled systems. Our defect correlators are shown to be consistent with the mirror symmetry duality between Abelian gauged linear sigma models and Landau-Ginzburg models, as well as that between the minimal model and its orbifold. We also study the vortex defects inserted at conical singularities.