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 language||English (US)|
|Number of pages||4|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Nov 12 2015|
Bibliographical noteFunding Information:
The work of M.S. is supported in part by DOE grant DE-SC0011842 . The work of A.Y. was supported by William I. Fine Theoretical Physics Institute, University of Minnesota , by Russian Foundation for Basic Research Grant No. 13-02-00042a and by Russian State Grant for Scientific Schools RSGSS-657512010.2 . The work of A.Y. was supported by the Russian Scientific Foundation Grant No. 14-22-00281 .
© 2015 The Authors.