Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor

Abstract

Most holographic models of superconducting systems neglect the effects of dynamical boundary gauge fields during the process of spontaneous symmetry-breaking. Usually a global symmetry gets broken. This yields a superfluid, which then is gauged "weakly" afterwards. In this work we build (and probe the dynamics of) a holographic model in which a local boundary symmetry is spontaneously broken instead. We compute two-point functions of dynamical non-Abelian gauge fields in the normal and in the broken phase, and find non-trivial gapless modes. Our AdS3 gravity dual realizes a p-wave superconductor in (1+1) dimensions. The ground state of this model also breaks (1+1)-dimensional parity spontaneously, while the Hamiltonian is parity-invariant. We discuss possible implications of our results for a wider class of holographic liquids.

32 pages, 12 figures; v3: string theory derivation of setup added (section 3.1), improved presentation, version accepted by JHEP; v2: paragraph added to discussion, figure added, references added, typos corrected

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Cited by in corpus (14)

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• Competition between the s-wave and p-wave superconductivity phases in a holographic model
• Phase transitions in a holographic s+p model with backreaction
• Coexistence of two vector order parameters: a holographic model for ferromagnetic superconductivity
• Holography and magnetohydrodynamics with dynamical gauge fields
• Transitions in Dilaton Holography with Global or Local Symmetries
• Intertwining Operator Realization of anti de Sitter Holography
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• One dimensional s-wave holographic superconductor with supercurrent
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Holographic entanglement entropy of a $1+1$ dimensional $p$-wave superconductor
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Kibble-Zurek Scaling in a Holographic p-wave Superconductor