Peter Breitenlohner was a theoretical physicist whose work with Daniel Z. Freedman established the Breitenlohner-Freedman bound for fields in Anti-de Sitter spacetime.
For a scalar field in -dimensional Anti-de Sitter spacetime with curvature radius , the familiar form is , with stability also requiring suitable boundary conditions. The negative right-hand side explains the surprising feature: a negative mass-squared parameter alone does not establish instability in this curved background. Their result links field dynamics to the geometry and boundary conditions of spacetime.[ref]
Stability in gauged extended supergravity by Peter Breitenlohner and Daniel Z. Freedman. 1982, stability analysis; formula uses d boundary spacetime dimensions and radius L
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