The holographic non-abelian vortex

Abstract

We study a fully back-reacted non-abelian vortex solution in an extension of the holographic superconductor setup. The thermodynamic properties of the vortex are computed. We show that, in some regime of parameters, the non-abelian vortex solution has a lower free energy than a competing abelian vortex solution. The solution is dual to a finite-temperature perturbed conformal field theory with a topological defect, on which operators related to the Goldstone modes of a spontaneously broken symmetry are localized. We compute numerically the retarded Green function of these operators and we find, in the classical approximation in the bulk, a gapless ${\mathbb{CP}}^1$ excitation on the vortex world line.

28 pages, 7 figures

References in corpus (46)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Solitons in the Higgs phase -- the moduli matrix approach --
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Non-Abelian String Junctions as Confined Monopoles
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
• Numerical Methods for Finding Stationary Gravitational Solutions
• Hydrodynamics of Holographic Superconductors
• The Holographic Superconductor Vortex
• Quantum phase transitions in holographic models of magnetism and superconductors
• Emergent Gauge Fields in Holographic Superconductors
• Vortex lattice for a holographic superconductor
• The BPS Spectra of Gauge Theories in Two and Four Dimensions
• Vortex and Droplet Engineering in Holographic Superconductors
• Dynamical Symmetry Breaking in Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Type I Superconductivity upon Monopole Condensation in Seiberg-Witten Theory
• Vortices in holographic superfluids and superconductors as conformal defects
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Phases of planar AdS black holes with axionic charge
• Inhomogeneous Structures in Holographic Superfluids: I. Dark Solitons
• Holography and the Coleman-Mermin-Wagner theorem
• Simple Models with Non-Abelian Moduli on Topological Defects
• Luttinger's theorem, superfluid vortices, and holography
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Holographic quantum criticality from multi-trace deformations
• Maxwell-Chern-Simons Vortices and Holographic Superconductors
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Low energy dynamics of $U(1)$ vortices in systems with cholesteric vacuum structure
• Multi-Skyrmions with orientational moduli
• Advent of Non-Abelian Vortices and Monopoles-- further thoughts about duality and confinement
• A Note on Holographic Non-Relativistic Goldstone Bosons
• More on the Abrikosov Strings with Non-Abelian Moduli
• 't Hooft-Polyakov Monopoles with Non-Abelian Moduli
• Stabilisation of semilocal strings by dark scalar condensates
• Non-Abelian Vortices in Holographic Superconductors
• Quantum Phases of a Vortex String
• Non-Abelian vortex lattices

Cited by in corpus (8)

• Generation of vortices and stabilization of vortex lattices in holographic superfluids
• Motion of a superfluid vortex according to holographic quantum dissipation
• Giant vortex in a fast rotating holographic superfluid
• Holographic Superfluid Solitons with Backreaction
• The holographic vortex lattice using the circular cell method
• Dynamics of global and local vortices with orientational moduli
• A falling magnetic monopole as a holographic local quench
• Vortons with Abelian and non-Abelian currents and their stability