Vortex Strings and Four-Dimensional Gauge Dynamics

Abstract

We study the low-energy quantum dynamics of vortex strings in the Higgs phase of N=2 supersymmetric QCD. The exact BPS spectrum of the stretched string is shown to coincide with the BPS spectrum of the four-dimensional parent gauge theory. Perturbative string excitations correspond to bound W-bosons and quarks while the monopoles appear as kinks on the vortex string. This provides a physical explanation for an observation by N. Dorey relating the quantum spectra of theories in two and four dimensions.

23 pages, 1 figure. v2: Two extra appendices included: one on the brane construction, the other describing the potential on the vortex moduli space. Two figures added. Typos corrected and references added. v3: BPS nature of quarks corrected

References in corpus (6)

• Non-Abelian String Junctions as Confined Monopoles
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• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• A new anomalous contribution to the central charge of the N=2 monopole
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Cited by in corpus (282)

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• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• The Effective Theory of Long Strings
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Instantons in the Higgs Phase
• TASI Lectures on Solitons
• Quantum Vortex Strings: A Review
• Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling
• Non-Abelian Vortices of Higher Winding Numbers
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Vortices and Other Topological Solitons in Dense Quark Matter
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• On the moduli space of semilocal strings and lumps
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• Instabilities of Non-Abelian Vortices in Dense QCD
• Surface Defects and Resolvents
• Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
• Reconnection of Non-Abelian Cosmic Strings
• Vertices, Vortices & Interacting Surface Operators
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Heterotic Vortex Strings
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• D-brane Construction for Non-Abelian Walls
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Webs of Walls
• Quantization of Integrable Systems and a 2d/4d Duality
• Reconnection of Colliding Cosmic Strings
• Non-Abelian Vortices in N=1* Gauge Theory
• Jewels on a wall ring
• Heterotic Flux Tubes in N=2 SQCD with N=1 Preserving Deformations
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Global Structure of Moduli Space for BPS Walls
• Incarnations of Skyrmions
• Non-Abelian Flux Tubes in SQCD: Supersizing World-Sheet Supersymmetry
• Composite non-Abelian Flux Tubes in N=2 SQCD
• Domain Walls with Non-Abelian Clouds
• Gauge/Liouville Triality
• Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD
• Statistical Mechanics of Vortices from D-branes and T-duality
• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• Simple Models with Non-Abelian Moduli on Topological Defects
• Non-Abelian vortices and monopoles in SO(N) theories
• Large-N Solution of the Heterotic N=(0,2) Two-Dimensional CP(N-1) Model
• Intersecting Solitons, Amoeba and Tropical Geometry
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Effective Theory on Non-Abelian Vortices in Six Dimensions
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Non-Abelian strings and domain walls in two Higgs doublet models
• Holomorphic blocks and the 5d AGT correspondence
• Non-Abelian Sine-Gordon Solitons
• Fractional Vortices and Lumps
• Magnetic Impurity Inspired Abelian Higgs Vortices
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Chern-Simons Vortices
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Higgs-confinement phase transitions with fundamental representation matter
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Brane necklaces and brane coils
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• Domain Walls and Flux Tubes
• Studying Boojums in N=2 Theory with Walls and Vortices
• Relations among topological solitons
• Confined Magnetic Monopoles in Dense QCD
• Non-Abelian Monopoles in the Higgs Phase
• Non-Abelian Duality and Confinement in N=2 Supersymmetric QCD
• SO and USp Kahler and Hyper-Kahler Quotients and Lumps
• The Quantum Dynamics of Heterotic Vortex Strings
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• Multiple Layer Structure of Non-Abelian Vortex
• Nonabelian Monopoles
• BPS States in Omega Background and Integrability
• Non-Abelian Vortex in Four Dimensions as a Critical String on a Conifold
• Decomposing Instantons in Two Dimensions
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Central Charge Anomalies in 2D Sigma Models with Twisted Mass
• Higgsed network calculus
• The Dynamics of Chern-Simons Vortices
• Dynamics of Strings between Walls
• Couplings between Chern-Simons gravities and 2p-branes
• N=(0,2) Deformation of CP(1) Model: Two-dimensional Analog of N=1 Yang-Mills Theory in Four Dimensions
• Superconformal Vortex Strings
• The Higgs and Coulomb/Confining Phases in "Twisted-Mass" Deformed CP(N-1) Model
• Supersymmetric Quantum Chromodynamics: How Confined Non-Abelian Monopoles Emerge from Quark Condensation
• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism
• Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian Strings
• Scalar triplet on a domain wall: an exact solution
• Static Interactions of non-Abelian Vortices
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• On Monopoles and Domain Walls
• Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
• Heterotic Surface Defects and Dualities from 2d/4d Indices
• Confinement in N=1 SQCD: One Step Beyond Seiberg's Duality
• Group Theory of Non-Abelian Vortices
• Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• New BPS Objects in N=2 Supersymmetric Gauge Theories
• Ellipsoid partition function from Seiberg-Witten monopoles
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Non-Abelian String of a Finite Length
• Solitons in Supersymmety Breaking Meta-Stable Vacua
• Domain Lines as Fractional Strings
• Self-Consistent Large-$N$ Analytical Solutions of Inhomogneous Condensates in Quantum $\mathbb{C}{P}^{N-1}$ Model
• Topological Nambu monopole in two Higgs doublet models
• Chiral Magnets from String Theory
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Dynamics of Non-Abelian Vortices
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• Remarks on Adjoint QCD with k Flavors, k>= 2
• Casimir Force for the $\mathbb{C}{P}^{N-1}$ Model
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
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• Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
• On the Stability of Non-Abelian Semi-local Vortices
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I
• Effective field theories on solitons of generic shapes
• N=(0,2) Supersymmetry and a Nonrenormalization Theorem
• Vortex counting from field theory
• Non Abelian Chern-Simons-Higgs solutions in (2+1) dimensions
• Instantons and Emergent AdS_3 x S^3 Geometry
• Description of the Heterotic String Solutions in U(N) SQCD
• Stable vs Unstable Vortices in SQCD
• Elliptic Virasoro Conformal Blocks
• Non-Abelian monopole-vortex complex
• Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear sigma-model
• Instantons confined by monopole strings
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Topological Defects in the Georgi-Machacek Model
• BPS Alice strings
• On Higgs Branch Localization of Seiberg-Witten Theories on Ellipsoid
• Instanton Counting, Quantum Geometry and Algebra
• Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Monopole-vortex complex at large distances and nonAbelian duality
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Non-Abelian Vortices with an Aharonov-Bohm Effect
• More on the Abrikosov Strings with Non-Abelian Moduli
• 't Hooft-Polyakov Monopoles with Non-Abelian Moduli
• Connecting Mirror Symmetry in 3d and 2d via Localization
• Incarnations of Instantons
• Non-Abelian Strings and the Luscher Term
• Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
• Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation
• Non-Abelian Vortices without Dynamical Abelianization
• String "Baryon'' in Four-Dimensional $\mathcal{N}=2$ Supersymmetric QCD from 2D-4D Correspondence
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• The Holomorphic Tension of Nonabelian Vortices
• On Integrable Structure and Geometric Transition in Supersymmetric Gauge Theories
• Crossover between Abelian and non-Abelian confinement in N=2 supersymmetric QCD
• From center-vortex ensembles to the confining flux tube
• $k$-Strings with exact Casimir law and Abelian-like profiles
• BPS Z(N) String Tensions, Sine Law and Casimir Scaling and Integrable Field Theories
• Hilbert Series and Moduli Spaces of k U(N) Vortices
• Vortex-Strings in N=2 SQCD and Bulk-String Decoupling
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Making confining strings out of mesons
• Vortices on Orbifolds
• Higher Winding Strings and Confined Monopoles in N=2 SQCD
• Heterotic N=(0,2) CP(N-1) Model with Twisted Masses
• Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
• Nonabelian Strings and Axion
• Nonabelian Confinement near Nontrivial Conformal Vacua
• Non-Abelian Vortices on the Torus
• Dyonic Non-Abelian Vortices
• The holographic non-abelian vortex
• Aharonov-Bohm defects
• Solitons in Supersymmetric Gauge Theories
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Non-integrability of Self-dual Yang-Mills-Higgs System
• Supersymmetry Breaking on Gauged Non-Abelian Vortices
• Non-Abelian strings in N=1 supersymmetric QCD
• A Study of Wall-Crossing: Flavored Kinks in D=2 QED
• Quantum Phases of a Vortex String
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• QCD String as Vortex String in Seiberg-Dual Theory
• Self-consistent Analytic Solutions in Twisted $\mathbb{C}{P}^{N-1}$ Model in the Large-$N$ Limit
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• Monopoles and flux strings from SU(2) adjoint scalars
• BPS Spectrum of Supersymmetric CP(N-1) Theory with Z_N Twisted Masses
• Are Preons Dyons? Naturalness of Three Generations
• Parallel surface defects, Hecke operators, and quantum Hitchin system
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• On exact correlation functions of chiral ring operators in $2d$ $\mathcal{N}=(2,2)$ SCFTs via localization
• Brane Realization of Nambu Monopoles and Electroweak Strings
• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• N=1 Duality in the Chiral Limit from N=2 Duality
• $\mathrm{SU}(N)\to \mathrm{Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view
• Superconducting and Spinning Non-Abelian Flux Tubes
• Degeneracy between Abelian and Non-Abelian Strings
• Dynamics of global and local vortices with orientational moduli
• Bispectral duality and separation of variables from surface defect transition
• Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
• Flux Compactification for the Critical Non-Abelian Vortex and Quark Masses
• Composite Non-Abelian Strings with Grassmannian Models on the World Sheet
• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• Critical Non-Abelian Vortex and Holography for Little String Theory
• Dynamics of quarks and gauge fields in the lowest-energy states in QCD and QED
• Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor
• All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Effective Action of Non-Abelian Monopole-Vortex Complex
• Description of the Heterotic String Solutions in the M Model
• On The Problem of the Quantum Heterotic Vortex
• Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass
• Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model
• Vortex description of quantum Hall ferromagnets
• BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models
• Bulk-Brane Duality in Field Theory
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• BPS Boojums in N=2 supersymmetric gauge theories I
• Heterotic Non-Abelian String of a Finite Length
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• Moduli space volume of vortex and localization
• Non-Abelian vortex lattices
• Quantum Energies and Tensorial Central Charges of Confined Monopoles
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• Flux dualization in broken SU(2)
• Partition Functions of $\mathcal{N}=1$ Gauge Theories on $S^2\times {\mathbb{R}}_{\epsilon }^2$ and Duality
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• Strings in Yang-Mills-Higgs theory coupled to gravity
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• From Gauged Linear Sigma Models to Geometric Representation of $\mathbb{WCP}(N,\tilde{N})$ in 2D
• Cosmic Strings with Small Tension
• Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies
• Fermion scattering on topological solitons in the ${\mathbb{CP}}^{N-1}$ model
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• Exponentially generalized vortex
• On the BPS Spectrum at the Root of the Higgs Branch
• General Composite Non-Abelian Strings and Flag Manifold Sigma Models
• Solution of quantum integrable systems from quiver gauge theories
• Vortices and Monopoles in a Harmonic Trap
• Some comments about emission channels of non abelian vortices
• Non-Abelian Vortex in Four Dimensions as a Critical Superstring
• String Dynamics, Spontaneous Breaking of Supersymmetry and Dual Scalar Field Theory
• CP(N) model on regions with boundary
• NS Three-form Flux Deformation for the Critical Non-Abelian Vortex String
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• Local and Semi-local Vortices in Yang-Mills-Chern-Simons model
• 2d Sigma Models on Non-compact Calabi-Yau and $\mathcal{N}=2$ Liouville Theory
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections
• Vortex-strings in N=2 quiver X U(1) theories
• Degenerate kinks and kink-instantons in two-dimensional scalar field models with $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry
• Chiral non-Abelian vortex molecules in dense QCD
• Gapless excitations of axially symmetric vortices in systems with tensorial order parameter
• Semilocal Fractional Instantons
• Long Way to Ricci Flatness
• Critical Non-Abelian Vortex String and 2D N=2 Black Hole
• Making supersymmetric connected N =(0,2) Sigma Models
• Fermion-soliton scattering in a modified ${\mathbb{CP}}^1$ model
• Theoretical Developments in SUSY
• On the ADHM construction of noncommutative U(2) k-instanton
• Fradkin-Shenker Continuity and "Instead-of-Confinement" Phase
• Quark confinement via magnetic color-flavor locking
• Non-Abelian Vortices with a Twist
• Magnetic structures and Z_2 vortices in a non-Abelian gauge model
• Index Theorem for non-Supersymmetric Fermions Coupled to a non-Abelian String and Electric Charge Quantization
• Dynamics of non-Abelian strings in supersymmetric gauge theories
• Mass deformed world-sheet action of semi-local vortices
• Solitons on Singularities
• Quantizing a solitonic string
• Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String
• The moduli space of non-Abelian vortices in Yang-Mills-Chern-Simons-Higgs theory
• Wall-Crossing in Supersymmetric Gauge Theories
• Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED
• Large-$N$ Solution and Effective Action of "Twisted-Mass'' Deformed $\mathbb{CP}(N-1)$ Model