Supersymmetry, Trace Anomaly and Naked Singularities

Details Supersymmetry, Trace Anomaly and Naked Singularities Supersymmetry, Trace Anomaly and Naked Singularities

1994-04-02

arxiv.org/abs/hep-th/9404006v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Latex file

Scientific paper

We discuss stationary supersymmetric bosonic configurations of the Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these configurations, including the Kerr-Newman solutions with $m = |q|$ and arbitrary angular momentum per unit mass $a$, exhibit naked singularities. However, $N=2$ supergravity has trace anomaly. The nonvanishing anomalous energy-momentum tensor of these Kerr-Newman solutions violates a consistency condition for a configuration to admit unbroken supersymmetry. Thus, the trace anomaly of this theory prevents the supersymmetric solutions from exhibiting naked singularities.

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