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arXiv 1105.2898hep-th
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BLG理论的某些BPS构型

Some BPS configurations of the BLG Theory

Sudipto Paul Chowdhury, Shankhadeep Chakrabortty, Koushik Ray

摘要:

我们得到BLG理论及其变体的BPS配置,包括标量和费米子的质量项,以及具有不同世界体积和R对称性的背景场。考虑了三种情况,世界体积对称性为SO(1,1)和SO(2),并保持不同数量的超对称性。在前一种情况下,我们得到了一个保持N=(3,3)超对称的奇异组态和一个对应于相交M2-M5-M5-膜的四分之一BPS组态。在后一种情况下,BPS方程被简化为具有两个复数标量的自对偶Chern-Simons理论中的方程。在这种情况下,由于缺乏精确解,我们用数值方法找到了一个拓扑涡旋解。其他解决方案是由畴壁的组合。

英文摘要:

We obtain BPS configurations of the BLG theory and its variant including mass terms for scalars and fermions in addition to a background field with different world-volume and R-symmetries. Three cases are considered, with world-volume symmetries SO(1,1) and SO(2) and preserving different amounts of supersymmetry. In the former case we obtain a singular configuration preserving N=(3,3) supersymmetry and an one-quarter BPS configuration corresponding to intersecting M2-M5-M5-branes. In the latter instance the BPS equations are reduced to those in the self-dual Chern-Simons theory with two complex scalars. In want of an exact solution, we find a topological vortex solution numerically in this case. Other solutions are given by combinations of domain walls.

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