Critical Non-Abelian Vortex in Four Dimensions and Little String Theory

Understand

As was shown recently, non-Abelian vortex strings supported in four-dimensional ${\cal N}=2$ supersymmetric QCD with the U(2) gauge group and $N_f=4$ quark multiplets (flavors) become critical superstrings.

• In addition to the translational moduli non-Abelian strings under consideration carry six orientational and size moduli.
• Together they form a ten-dimensional target space required for a superstring to be critical.
• The target space of the string sigma model is a product of the flat four-dimensional space and a Calabi-Yau non-compact threefold, namely, the conifold.