2009/12/31 by Martin Ammon, Johanna Erdmenger, Viviane Grass +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2010.02.021
published as Phys.Lett.B686:192-198,2010 · 15 pages, 7 pdf files in 4 figures
openalex publication_date 2010/02/12 · arxiv created 2010/03/12 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We numerically construct asymptotically Anti-de Sitter charged black hole solutions of (4+1)-dimensional SU(2) Einstein–Yang–Mills theory that, for sufficiently low temperature, develop vector hair. Via gauge–gravity duality, these solutions describe a strongly-coupled conformal field theory at finite temperature and density that undergoes a phase transition to a superfluid state with spontaneously broken rotational symmetry (a p-wave superfluid state). The bulk theory has a single free parameter, the ratio of the five-dimensional gravitational constant to the Yang–Mills coupling, which we denote as α. Previous analyses have shown that in the so-called probe limit, where α goes to zero and hence the gauge fields are ignored in Einstein's equation, the transition to the superfluid state is second order. We construct fully back-reacted solutions, where α is finite and the gauge fields are included in Einstein's equation, and find that for values of α above a critical value αc=0.365±0.001 in units of the AdS radius, the transition becomes first order.