Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions

Abstract

Recently a special vortex string was found [5] in a class of soliton vortices supported in four-dimensional Yang-Mills theories that under certain conditions can become infinitely thin and can be interpreted as a critical ten-dimensional string. The appropriate bulk Yang-Mills theory has the U(2) gauge group and the Fayet-Iliopoulos term. It supports semilocal non-Abelian vortices with the world-sheet theory for orientational and size moduli described by the weighted CP(2,2) model. The full target space is R_4\times Y_6 where Y_6 is a non-compact Calabi-Yau space. We study the above vortex string from the standpoint of string theory, focusing on the massless states in four dimensions. In the generic case all massless modes are non-normalizable, hence, no massless gravitons or vector fields are predicted in the physical spectrum. However, at the selfdual point (at strong coupling) weighted CP(2,2) admits deformation of the complex structure, resulting in a single massless hypermultiplet in the bulk. We interpret it as a composite "baryon."

15 pages, no figures, minor corrections

References in corpus (5)

• On the moduli space of semilocal strings and lumps
• Gauge/Gravity Duality and Warped Resolved Conifold
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold

Cited by in corpus (14)

• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
• Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• On exact correlation functions of chiral ring operators in $2d$ $\mathcal{N}=(2,2)$ SCFTs via localization
• Flux Compactification for the Critical Non-Abelian Vortex and Quark Masses
• Critical Non-Abelian Vortex and Holography for Little String Theory
• Non-Abelian Vortex in Four Dimensions as a Critical Superstring
• Superstring limit of Yang-Mills theories
• NS Three-form Flux Deformation for the Critical Non-Abelian Vortex String
• Some comments about emission channels of non abelian vortices
• Superstring theories as low-energy limit of supergroup gauge theories
• Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String
• Dynamics of non-Abelian strings in supersymmetric gauge theories