TY - JOUR

T1 - Stability of gauged d = 7 supergravity and the definition of masslessness in (adS)7

AU - Mezincescu, L.

AU - Townsend, P. K.

AU - van Nieuwenhuizen, P.

N1 - Funding Information:
1. Introduction. In four spacetime dimensions (d = 4), gauged N >~ 4 extended supergravity theories \[1,2\]h ave scalar potentials that are unbounded from below, which led to the suspicion that these theories have no stable ground state. Usually, the scalar potential, V(dp), does have critical points, allowing candidate ground states for which space-time is anti-de Sitter space, (adS), but they are either maxima or saddle points rather than minima \[3\]a nd this calls into question even the perturba-tire stability of the theory. Perturbative stability in (adS)4 has been investigated both for spin-two fluctuations \[4\], i.e. the stability of the spacetime itself, and for spin-zero fluctuations \[4,5\]. The conclusion is that perturbative stability holds provided V"(~) is not too negative. This condition appears to be always satisfied at critical points of V(~/,) for which some supersymmetry is preserved. Moreover, using particular properties of these theories that follow from supersymmetry, it is possi- 1 Supported in part by the Robert A. Welch Foundation and NSF PHY 8304629.

PY - 1984/8/16

Y1 - 1984/8/16

N2 - 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.

AB - 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.

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U2 - 10.1016/0370-2693(84)91487-4

DO - 10.1016/0370-2693(84)91487-4

M3 - Article

AN - SCOPUS:33744767884

VL - 143

SP - 384

EP - 388

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-6

ER -