Domain walls and flux tubes in N=2 SQCD: D-brane prototypes
Domain walls and flux tubes in N=2 SQCD: D-brane prototypes
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N=2 SQCD 中的畴壁和通量管：D 膜原型
DOI：
10.1103/physrevd.67.125007
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发表时间：
2002
影响因子：
5
通讯作者：
A. Yung
中科院分区：
文献类型：
--
作者：
M. Shifman;A. Yung
这篇论文的标题可以是“来自血肉的D膜和弦”。“我们研究D膜/弦的场论原型。为此，我们考虑在SU（2）规范群和两种夸克味的基本表象中的（3+1）维N=2 SQCD中的（2+1）维畴壁。这个理论被伴随物质的一个小质量项所扰动，在质量参数的领先顺序中，它不会破坏N=2的超对称性，并在有效低能N=2的SQED中简化为（广义）Fayet-Iliopoulos项。在弱耦合条件下，我们发现了1/2BPS饱和畴壁解，它内插在两个夸克真空之间，并证明了这个畴壁局域了一个U（1）规范场。为了与膜/弦图像联系起来，我们考虑两个夸克真空之一中的Abrikosov-Nielsen-Olesen磁通管，并证明它可以终止于畴壁。我们找到了一个明确的1/4 BPS饱和的解决方案的壁/通量管结。我们验证了在墙上的通量管的端点在生活在墙上的双（2+1）维SQED中起着电荷的作用。讨论了流向N=1理论。我们的研究结果使我们猜想关于臭名昭著的“失踪墙”的解决方案Kaplunovsky等人。
This paper could have been entitled "D branes and strings from flesh and blood." We study field theoretic prototypes of D branes/strings. To this end we consider (2+1)-dimensional domain walls in (3+1)-dimensional N=2 SQCD with SU(2) gauge group and two quark flavors in the fundamental representation. This theory is perturbed by a small mass term of the adjoint matter which, in the leading order in the mass parameter, does not break N=2 supersymmetry, and reduces to a (generalized) Fayet-Iliopoulos term in the effective low-energy N=2 SQED. We find 1/2 BPS-saturated domain wall solution interpolating between two quark vacua at weak coupling, and show that this domain wall localizes a U(1) gauge field. To make contact with the brane/string picture we consider the Abrikosov-Nielsen-Olesen magnetic flux tube in one of two quark vacua and demonstrate that it can end on the domain wall. We find an explicit 1/4 BPS-saturated solution for the wall/flux tube junction. We verify that the end point of the flux tube on the wall plays the role of an electric charge in the dual (2+1)-dimensional SQED living on the wall. Flow to N=1 theory is discussed. Our results lead us to a conjecture regarding the notorious "missing wall" in the solution of Kaplunovsky et al.