Stability of Gauged $d=7$ Supergravity and the Definition of Masslessness in ({AdS}) in Seven-dimensions

Mezincescu, L.; Townsend, P.K.; van Nieuwenhuizen, P.

doi:10.1016/0370-2693(84)91487-4

Stability of Gauged $d=7$ Supergravity and the Definition of Masslessness in ({AdS}) in Seven-dimensions

L. Mezincescu
(
- Texas U.
)
,
P.K. Townsend
(
- Texas U.
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

Mar, 1984

5 pages

Published in:

Phys.Lett.B 143 (1984) 384-388

Published: 1984

DOI:

10.1016/0370-2693(84)91487-4

Report number:

UTTG-6-84

View in:

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Abstract: (Elsevier)

We analyze the two parameter scalar potential of the gauged d = 7 simple ( N = 2) supergravity theory. The potential has a local minimum and a local maximum. The latter provides a supersymmetric anti-deSitter background which we show to be stable with respect to arbitrarily large fluctuations of the gravitational and scalar fields. The “apparent mass terms” agree with those obtained by a Kaluza-Klein analysis of the N = 4, d = 7 theory.

SUPERGRAVITY: SEVEN-DIMENSIONAL
POTENTIAL: SCALAR
GAUGE FIELD THEORY: SU(2)
FIELD THEORY: VACUUM STATE

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Stability of Gauged d=7d=7d=7 Supergravity and the Definition of Masslessness in ({AdS}) in Seven-dimensions

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Stability of Gauged $d=7$ Supergravity and the Definition of Masslessness in ({AdS}) in Seven-dimensions