Studying boojums in N=2 theory with walls and vortices

Studying boojums in N=2 theory with walls and vortices
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研究带有壁和涡流的 N=2 理论中的 boojums

DOI:
10.1103/physrevd.72.025002
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发表时间:
2005
期刊:
影响因子:
5
通讯作者:
A. Yung
A. Yung
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Auzzi;M. Shifman;A. Yung;A. Yung

文献摘要

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我们研究了1/2 Bogomol'nyi-Prasad-Sommerfield(BPS)畴壁、1/2 BPS通量管(弦)及其1/4 BPS结。我们考虑最简单的例子N=2阿贝尔规范理论与两个带电物质超多重态,其中包含所有上述列出的扩展对象。特别是,我们专注于弦壁结(boojums)和计算它们的能量。它在红外区域是发散的。我们首先在(2+1)维有效理论中计算了畴壁上的能量,然后作为检验,从(3+1)维体理论的观点得到了同样的结果。接下来,我们考虑所有可能的弦壁结的几何形状和弦磁通的方向,研究boojums的相互作用。
We study 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) domain walls, 1/2 BPS flux tubes (strings), and their 1/4 BPS junctions. We consider the simplest example of N=2 Abelian gauge theory with two charged matter hypermultiplets which contains all of the above-listed extended objects. In particular, we focus on string-wall junctions (boojums) and calculate their energy. It turns out to be logarithmically divergent in the infrared domain. We compute this energy first in the (2+1)-dimensional effective theory on the domain wall and then, as a check, obtain the same result from the point of view of (3+1)-dimensional bulk theory. Next, we study interactions of boojums considering all possible geometries of string-wall junctions and directions of the string magnetic fluxes.