Critical string from non-Abelian vortex in four dimensions

M. Shifman, A. Yung

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)416-419
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - Nov 12 2015

Bibliographical note

Publisher Copyright:
© 2015 The Authors.


Dive into the research topics of 'Critical string from non-Abelian vortex in four dimensions'. Together they form a unique fingerprint.

Cite this