Magnetic solutions in AdS${}_5$ and trace anomalies

Abstract

We discuss black hole and black string solutions in d=5 Einstein-Yang-Mills theory with negative cosmological constant, proposing a method to compute their mass and action. The magnetic gauge field of these configurations does not vanish at infinity. We argue that this implies a nonvanishing trace for the stress tensor of the dual d=4 theory.

8 pages, 2 figures

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Cited by in corpus (8)

• On the stability of AdS black strings
• Black strings in AdS_5
• Black hole-black string phase transitions from hydrodynamics
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• AdS${}_5$ rotating non-Abelian black holes
• Non-abelian magnetic black strings versus black holes
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory
• Meronic Einstein-Yang-Mills black hole in 5D and gravitational spin from isospin effect