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

Understand

Non-Abelian vortex strings supported in a certain four-dimensional N=2 Yang-Mills theory with fundamental matter were shown arXiv:1502.00683 to become critical superstrings.

• In addition to translational moduli non-Abelian string under consideration carries orientational and size moduli.
• Their dynamics is described by two-dimensional sigma model whose target space is a tautological bundle over the complex projective space.
• For the N=2 theory with the $U(2)$ gauge group and four fundamental hypermultiplets there are six orientational and size moduli.