2009/03/31 by Julian Sonner · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Condensed matter physics #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Holography #Infinity #Interpretation (philosophy) #Limit (mathematics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum mechanics #Rotation (mathematics) #Superconductivity #Symmetry (geometry) #Zero (linguistics) #hep-th
paper · pdf · doi:10.1103/physrevd.80.084031
published as Phys.Rev.D80:084031,2009 · 23 pages, 5 figures, version 2: references added
arxiv created 2009/03/31 · openalex publication_date 2009/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we initiate the study of spontaneous symmetry breaking in 3+1 dimensional rotating, charged, asymptotically AdS black holes. The theory living on their boundary, ℝ\ifmmode×\else\texttimes\fiS2, has the interpretation of a 2+1 dimensional rotating holographic superconductor. We study the appearance of a marginal mode of the condensate as the temperature is decreased. We find that the transition temperature depends on the rotation. At temperatures just below Tc, the transition temperature at zero rotation, there exists a critical value of the rotation, which destroys the superconducting order. This behavior is analogous to the emergence of a critical applied magnetic field and we show that the superconductor in fact produces the expected London field in the planar limit.