Quantum corrections to broken N = 8 supergravity

Abstract

We show that the one-loop effective potential of spontaneously broken N=8 supergravity is calculable and finite at all classical four-dimensional Minkowski vacua without tachyons in the spectrum. The reason is that the supertraces of the quadratic and quartic mass matrices vanish along the classically flat directions: Str M^2 = Str M^4 =0. We also show that Str M^6 = 0 but Str M^8 > 0 in a broad class of vacua with broken supersymmetry on a flat background, which includes all those explicitly identified so far. We find analytical and numerical evidence that the corresponding one-loop effective potential is negative-definite.

30 pages. v2: few misprints corrected. v3: JHEP published version

References in corpus (7)

• A field-theory motivated approach to symbolic computer algebra
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• Charting the landscape of N=4 flux compactifications
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• An Alternative for Moduli Stabilisation
• Minimal Stability in Maximal Supergravity
• New Sum Rules from Low Energy Compton Scattering on Arbitrary Spin Target

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• Classification and stability of vacua in maximal gauged supergravity
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
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• One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities