Daniel Z. Freedman 2026-11-05
Daniel Z. Freedman is a theoretical physicist whose work includes supergravity and the stability of fields in Anti-de Sitter spacetime. With Peter Breitenlohner, he derived the condition known as the Breitenlohner-Freedman bound.
Under the appropriate boundary conditions, a scalar field in Anti-de Sitter spacetime can be stable even when its mass-squared parameter is negative, provided it remains above the bound. Curved background geometry changes the stability criterion familiar from flat spacetime.[ref]
Stability in gauged extended supergravity by Peter Breitenlohner and Daniel Z. Freedman. 1982, scalar-field stability result
His MIT profile also identifies his 1976 collaborative construction of supergravity.[ref] Peter Breitenlohner 2026-11-05
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