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arXiv 1502.00683hep-th
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四维非阿贝尔涡旋的临界弦

Critical String from Non-Abelian Vortex in Four Dimensions

M. Shifman, A. Yung

摘要:

在N=2的超杨-米尔斯理论支持的一类非阿贝尔孤子涡旋弦中,我们寻找了一个能作为临界基本弦的涡旋。我们使用Polchinski-Strominger紫外完全性判据。我们确定了一个合适的四维体理论:它具有U(2)规范群,Fayet-Iliopoulos项和四味超多重态。它支持半局部涡与世界片理论的取向(尺寸)模量所描述的加权CP(2,2)模型。后者是超共形的。它的目标空间是六维的。整个Virasoro的中心荷至关重要。我们表明,在这个整体模型中支持的涡的世界片理论是真正的临界弦。

英文摘要:

In a class of non-Abelian solitonic vortex strings supported in certain N=2 super-Yang-Mills theories we search for the vortex which can behave as a critical fundamental string. We use the Polchinski-Strominger criterion of the ultraviolet completeness. We identify an appropriate four-dimensional bulk theory: it has the U(2) gauge group, the Fayet-Iliopoulos term and four flavor hypermultiplets. It supports semilocal vortices with the world-sheet theory for orientational (size) moduli described by the weighted CP(2,2) model. The latter is superconformal. Its target space is six-dimensional. The overall Virasoro central charge is critical. We show that the world-sheet theory on the vortex supported in this bulk model is the bona fide critical string.

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