Magnetic solutions in AdS$_5$ and trace anomalies

TL;DR

This paper explores magnetic black hole and black string solutions in five-dimensional Einstein-Yang-Mills theory with negative cosmological constant, analyzing their properties and implications for the dual four-dimensional theory's trace anomalies.

Contribution

It introduces a method to compute mass and action for these solutions and discusses the nonvanishing trace of the dual stress tensor due to magnetic fields at infinity.

Findings

Magnetic solutions in AdS5 with non-zero boundary gauge fields.

Nonvanishing trace of the dual stress tensor linked to magnetic fields.

Proposed computational approach for mass and action of these solutions.

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.