Supersymmetry, Trace Anomaly and Naked Singularities

Abstract

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.

11 pages. Latex file

References in corpus (1)

• Killing Spinor Identities

Cited by in corpus (2)

• Stationary Axion/Dilaton Solutions and Supersymmetry
• Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes