Colorful Horizons with Charge in Anti–de Sitter Space

2008/03/25 by Steven S. Gubser · 241 citations
Mathematics · Physics and Astronomy · #Abelian group #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Diagonal #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge symmetry #Gauge theory #Geometry #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Spacetime #Symmetry (geometry) #Universe #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #hep-th

paper · pdf · doi:10.1103/physrevlett.101.191601

published in Physical Review Letters 101(19), 191601 (American Physical Society) · 7 pages, 3 figures

arxiv created 2008/03/25 · openalex publication_date 2008/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An Abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-Abelian gauge fields. A second order phase transition is shown to separate Reissner-Nordström-anti-de Sitter solutions from a family of symmetry-breaking solutions which preserve a diagonal combination of gauge invariance and spatial rotational invariance.

Citations

• Building a Holographic Superconductor
• Black strings andp-branes are unstable
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Breaking an Abelian gauge symmetry near a black hole horizon
• The large N limit of superconformal field theories and supergravity