Critical string from non-Abelian vortex in four dimensions

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• 作者：M. Shifman^a ; ^{shifman@umn.edu" class="auth_mail" title="E-mail the corresponding author} ; A. Yung^a ; ^b ; ^c
• 刊名：Physics Letters B
• 出版年：2015
• 出版时间：12 November 2015
• 年：2015
• 卷：750
• 期：Complete
• 页码：416-419
• 全文大小：243 K

文摘

In a class of non-Abelian solitonic vortex strings supported in certain N=2$\mathcal{N}=2$ 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)$U(2)$ 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)$\mathit{CP}(2,2)$ 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.