Magnetic brane solutions in AdS

2009/08/31 by Eric D'Hoker, Eric D’Hoker, Per Kraus
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/10/088

published as JHEP 0910:088,2009 · 17 pages

openalex publication_date 2009/10/28 · arxiv created 2010/04/04 · arxiv updated 2010/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct asymptotically AdS₅ solutions of Einstein-Maxwell theory dual to N=4 SYM theory on R^3,1 in the presence of a background magnetic field. The solutions interpolate between AdS₅ and a near horizon AdS₃× T². The central charge of the near horizon region, and hence low temperature entropy of the solution, is found to be √(4\over 3) times that of free N=4 SYM theory. The entropy vanishes at zero temperature. We also present the generalization of these solutions to arbitrary spacetime dimensionality.

Citations

• Black hole in three-dimensional spacetime
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity