Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2014)010
Keywords
Black Holes; Topological Strings; Gauge-gravity correspondence
Categories
Funding
- STFC [ST/J000426/1]
- Wolfson Foundation
- Royal Society
- Perimeter Institute for Theoretical Physics
- Perimeter Institute
- STFC studentship
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Natural Sciences and Engineering Research Council of Canada
- STFC [ST/I505648/1, ST/J501001/1, ST/J000426/1, ST/L000407/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000426/1, 1089936, ST/J501001/1, ST/L000407/1, ST/I505648/1] Funding Source: researchfish
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We analyse vortex hair for charged rotating asymptotically AdS black holes in the abelian Higgs model. We give analytical and numerical arguments to show how the vortex interacts with the horizon of the black hole, and how the solution extends to the boundary. The solution is very close to the corresponding asymptotically flat vortex, once one transforms to a frame that is non-rotating at the boundary. We show that there is a Meissner effect for extremal black holes, with the vortex flux being expelled from sufficiently small black holes. The phase transition is shown to be first order in the presence of rotation, but second order without rotation. We comment on applications to holography.
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