Critical String from Non-Abelian Vortex in Four Dimensions
Abstract
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.
Keywords
Cite
@article{arxiv.1502.00683,
title = {Critical String from Non-Abelian Vortex in Four Dimensions},
author = {M. Shifman and A. Yung},
journal= {arXiv preprint arXiv:1502.00683},
year = {2015}
}
Comments
4 pages, 1 fig; v.2: The paragraph following (15) is slightly expanded, Ref. [24] added; v.3 manor correction