Stability in Gauged Extended Supergravity
Jul, 198255 pages
Published in:
- Annals Phys. 144 (1982) 249
Report number:
- Print-82-0500 (MIT)
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Abstract: (Elsevier)
Extended supergravity theories with gauged SO ( N ) internal symmetry have, for N ≥ 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 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.- SUPERSYMMETRY
- GAUGE FIELD THEORY: SO(N)
- GAUGE FIELD THEORY: DE SITTER
- GAUGE FIELD THEORY: BACKGROUND FIELD
- GAUGE FIELD THEORY: SPACE-TIME
- BOUNDARY CONDITION
- POTENTIAL: SCALAR
- GROUP THEORY: SO(3,2)
- GROUP THEORY: OSP(1,4)
- GROUP THEORY: REPRESENTATION
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