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arXiv 1302.6593hep-th
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三维N = 2理论中的超对称边界条件

Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories

Tadashi Okazaki, Satoshi Yamaguchi

摘要:

我们研究了三维N = 2 Landau-Ginzburg模型的超对称边界条件和阿贝尔规范理论。在Landau-Ginzburg模型中,边界上保持(1,1)超对称性(A型)和(2,0)超对称性(B型)的边界条件是根据目标空间的子空间(“膜”)来分类的。A型膜是一个拉格朗日子流形,其上的超势虚部是常数,而B型膜是一个全纯子流形,其上的超势是常数。我们还考虑了N = 2的Maxwell边界理论和交换对偶。最后对带边界条件和镜像对称的N = 2 SQED作了一些评论。

英文摘要:

We study supersymmetric boundary conditions in 3-dimensional N = 2 Landau-Ginzburg models and abelian gauge theories. In the Landau-Ginzburg model the boundary conditions that preserve (1,1) supersymmetry (A-type) and (2,0) supersymmetry (B-type) on the boundary are classified in terms of subspaces of the target space ("brane"). An A-type brane is a Lagrangian submanifold on which the imaginary part of the superpotential is constant, while a B-type brane is a holomorphic submanifold on which the superpotential is constant. We also consider the N = 2 Maxwell theory with boundary and the abelian duality. Finally we make some comments on N = 2 SQED with boundary condition and the mirror symmetry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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