Stability at a local maximum in higher dimensional anti-deSitter space and applications to supergravity

L. Mezincescu, P. K. Townsend

Research output: Contribution to journalArticle

153 Scopus citations

Abstract

The stability of anti-deSitter background solutions of gravity/scalar systems with respect to small fluetuations of the scalar fields is analyzed. As in the four dimensional case, one finds stability even about a local maximum provided that the effective scalar field masses are not "too tachyonic," and for sufficiently low mass there are two possible boundary conditions that allow a well-defined and conserved energy. Unlike the d = 4 case only one boundary condition is applicable to the known gauged supergravity theories in d = 5 and d = 7. For d = 7 the stability criterion is satisfied while for d = 5 stability is marginal.

Original languageEnglish (US)
Pages (from-to)406-419
Number of pages14
JournalAnnals of Physics
Volume160
Issue number2
DOIs
StatePublished - Apr 1 1985
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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