Superconformal Vortex Strings

Abstract

We study the low-energy dynamics of semi-classical vortex strings living above Argyres-Douglas superconformal field theories. The worldsheet theory of the string is shown to be a deformation of the CP^N model which flows in the infra-red to a superconformal minimal model. The scaling dimensions of chiral primary operators are determined and the dimensions of the associated relevant perturbations on the worldsheet and in the four dimensional bulk are found to agree. The vortex string thereby provides a map between the A-series of N=2 superconformal theories in two and four dimensions.

22 pages. v2: change to introduction

References in corpus (27)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Phases of $N=2$ Theories In Two Dimensions
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• New N=2 Superconformal Field Theories in Four Dimensions
• Vortices, Instantons and Branes
• Semilocal and Electroweak Strings
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Non-Abelian String Junctions as Confined Monopoles
• The Coulomb Phase of N=2 Supersymmetric QCD
• On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Branes and N=2 Theories in Two Dimensions
• On the Landau-Ginzburg Description of $N=2$ Minimal Models
• Monopoles in the Higgs Phase
• TASI Lectures on Solitons
• Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• BPS Structure of Argyres-Douglas Superconformal Theories
• The BPS Spectra of Gauge Theories in Two and Four Dimensions
• Vortices in Theories with Flat Directions
• Non-Abelian Vortices in N=1* Gauge Theory
• What Becomes of Vortices in Theories with Flat Directions
• Instanton Effects in Three-Dimensional Supersymmetric Gauge Theories with Matter
• $N=2$ Superconformal Field Theories in $4$ Dimensions and A-D-E Classification

Cited by in corpus (16)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Quantum Vortex Strings: A Review
• On the moduli space of semilocal strings and lumps
• Heterotic Vortex Strings
• Statistical Mechanics of Vortices from D-branes and T-duality
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• The Quantum Dynamics of Heterotic Vortex Strings
• Trisecting non-Lagrangian theories
• 2d SCFTs from M2-branes
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• ADE Spectral Networks and Decoupling Limits of Surface Defects
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD