The Second Sound of SU(2)

Abstract

Using the AdS/CFT correspondence, we calculate the transport coefficients of a strongly interacting system with a non-abelian SU(2) global symmetry near a second order phase transition. From the behavior of the poles in the Green's functions near the phase transition, we determine analytically the speed of second sound, the conductivity, and diffusion constants. We discuss similarities and differences between this and other systems with vector order parameters such as p-wave superconductors and liquid helium-3.

31 pages, 2 figures; v2 ref added, typo fixed

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Cited by in corpus (63)

• Lectures on holographic methods for condensed matter physics
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic quantum matter
• An Analytic Holographic Superconductor
• Hydrodynamics of Holographic Superconductors
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• Vortex lattice for a holographic superconductor
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Non-universal shear viscosity from Einstein gravity
• Flavor Superconductivity from Gauge/Gravity Duality
• A theory of first order dissipative superfluid dynamics
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Hard-gapped Holographic Superconductors
• Small Hairy Black Holes in Global AdS Spacetime
• Dissipative superfluid dynamics from gravity
• A general class of holographic superconductors
• p-Wave holographic superconductors with Weyl corrections
• A gravity derivation of the Tisza-Landau Model in AdS/CFT
• Tri-Sasakian consistent reduction
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Sound modes in holographic superfluids
• The shear viscosity of holographic superfluids
• The Many Phases of Holographic Superfluids
• Fermion correlators in non-abelian holographic superconductors
• Pseudospectra of Holographic Quasinormal Modes
• Holographic anyonic superfluidity
• Supercurrent in p-wave Holographic Superconductor
• Time Reversal Symmetry Breaking Holographic Superconductor in Constant External Magnetic Field
• Fourth sound of holographic superfluids
• What lies beyond the horizon of a holographic p-wave superconductor
• d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet
• Holographic Superfluidity in Imbalanced Mixtures
• Holographic Lifshitz superconductors: Analytic solution
• Gauss-Bonnet holographic superconductors with magnetic field
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Analytic Approaches to anisotropic Holographic Superfluids
• A Holographic Realization of Ferromagnets
• Transport Coefficients from Extremal Gauss-Bonnet Black Holes
• Phase transitions in a holographic multi-Weyl semimetal
• Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor
• Dyons and dyonic black holes in $\mathfrak{su}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space-time
• Transport Coefficients of Black MQGP M3-Branes
• Hydrodynamic Modes of a holographic $p-$ wave superfluid
• On pseudorapidity distribution and speed of sound in high energy heavy ion collisions based on a new revised Landau hydrodynamic model
• Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Characteristic length of a Holographic Superconductor with $d$-wave gap
• Linear Resistivity from Non-Abelian Black Holes
• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• Dynamics of a Vortex Dipole in a Holographic Superfluid
• Low temperature properties of holographic condensates
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Holographic P-wave Superconductors in 1+1 Dimensions
• Holographic superconductor in the exact hairy black hole
• Flavor Superconductivity & Superfluidity
• $U(1)$ current from the AdS/CFT: diffusion, conductivity and causality
• Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz Equation from Yang-Mills Fields
• On S-duality for holographic p-wave superconductors
• Holographic entanglement entropy probe on spontaneous symmetry breaking with vector order
• On Distributions of Emission Sources and Speed of Sound in Proton-proton (Proton-antiproton) Collisions
• On the Square Speed of Sound in High-Energy Collisions: Range of Values and How to Understand It
• Landau Free Energy and Analytic Tricritical Point in Holographic Superfluid