Stability in gauged extended supergravity
type: Item
instance of: scholarly article
title: Stability in gauged extended supergravity
zbMATH Open document ID: 0606.53044
DOI: 10.1016/0003-4916(82)90116-6
author: P. Breitenlohner
author: Daniel Z. Freedman
published in: Annals of Physics
publication date: 1982-01-01T00:00:00Z
review text: Extended supergravity theories with gauged SO(N) internal symmetry have, for \(N\geq 4\), scalar field potentials which are unbounded below. Nevertheless, it is argued that the theories have ground states with anti-de Sitter background geometry which are stable against fluctuations which vanish sufficiently fast at spatial infinity. Stability is implied because the appropriate conserved energy functional is positive for such fluctuations. Anti-de Sitter space is not globally hyperbolic, but the boundary conditions required for positive energy are also shown to give free field theories with a well-defined Cauchy problem. New information on the particle representations of OSp(1,4) supersymmetry is presented as part of the argument. Supersymmetry requires boundary conditions for spin 0 fields such that only the improved stress tensor leads to a conserved energy functional. Although the stability arguments support the view that gauged supergravity theories are acceptable quantum field theories, the problem of a large cosmological term in the AdS phase of the theories is still unsolved.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 3979970
zbMATH Keywords: scalar field potentials
zbMATH Keywords: fluctuations
zbMATH Keywords: Anti-de Sitter space
zbMATH Keywords: Cauchy problem
zbMATH Keywords: supersymmetry
zbMATH Keywords: supergravity theories
MaRDI profile type: Publication
full work available at URL: 0003-4916(82)90116-6
OpenAlex ID: W1989132853
cites work: Stability of gravity with a cosmological constant
cites work: The Large Scale Structure of Space-Time
cites work: SPIN ½ WAVE EQUATION IN DE-SITTER SPACE
cites work: Q5576969
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description: scientific article; zbMATH DE number 3979970