Critical String from Non-Abelian Vortex in Four Dimensions

2015/02/28 by M. Shifman, A. Yung · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2015.09.045

4 pages, 1 fig; v.2: The paragraph following (15) is slightly expanded, Ref. [24] added; v.3 manor correction

arxiv created 2015/09/24 · arxiv updated 2015/10/28

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.

Cited by

• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold

Related

• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Flowing Between String Vacua for the Critical Non-Abelian Vortex with Deformation of N=2 Liouville theory
• Effective world-sheet theory for non-Abelian semilocal strings inN=2supersymmetric QCD
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole
• Four dimensional non-critical strings