Fourteen new stationary points in the scalar potential of SO(8)-gauged N=8, D=4 supergravity

Abstract

The list of six previously known nontrivial stationary points in the scalar potential of N=8, D=4 supergravity with gauge group SO(8) is extended by fourteen new entries, whose properties have been obtained numerically using the sensitivity backpropagation technique. Eight of the new solutions break the gauge group completely, while three have a residual symmetry of U(1). Three further ones break the gauge group to U(1)xU(1), and while the approximate numerical data are somewhat inconclusive, there is evidence that one of these may have a residual N=1 supersymmetry, hence correspond to a stable vacuum. It must be pointed out that this list of new solutions most likely is not exhaustive.

23 pages; typo fixes and some adjustments to text; fermion mass matrix eigenvalues listed

References in corpus (8)

• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• The maximal D=4 supergravities
• Is N = 8 Supergravity Ultraviolet Finite?
• Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity
• Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
• The many vacua of gauged extended supergravities
• Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra

Cited by in corpus (35)

• Gauged Supergravities
• On the vacua of N = 8 gauged supergravity in 4 dimensions
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Charting the landscape of N=4 flux compactifications
• Consistent truncation of d = 11 supergravity on AdS_4 x S^7
• All G_2 invariant critical points of maximal supergravity
• Minimal Holographic Superconductors from Maximal Supergravity
• The SU(3)-invariant sector of new maximal supergravity
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• On new maximal supergravity and its BPS domain-walls
• SO(8) Supergravity and the Magic of Machine Learning
• Exceptional Flux Compactifications
• A Cornucopia of AdS${}_5$ Vacua
• Weak gravity versus scale separation
• Testing the non-linear flux ansatz for maximal supergravity
• Machine Learning $\mathcal{N}=8,D=5$ Gauged Supergravity
• On the moduli space of spontaneously broken N = 8 supergravity
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• Brane-Jet Instabilities
• Metastable supersymmetry breaking in extended supergravity
• S-folds and (non-)supersymmetric Janus solutions
• Numerical tools to validate stationary points of SO(8)-gauged N=8 D=4 supergravity
• Lobotomy of Flux Compactifications
• Minimal Stability in Maximal Supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Classification and stability of vacua in maximal gauged supergravity
• New AdS${}_4$ Vacua in Dyonic ISO(7) Gauged Supergravity
• Vacua of $\omega$-deformed SO(8) supergravity
• Old and new vacua of 5D maximal supergravity
• Vacua of N=10 three dimensional gauged supergravity
• Gauged Supergravities and the Physics of Extra Dimensions
• Inflation in maximal gauged supergravities
• On Supersymmetric Flux Solutions of M-theory
• New methods for old problems: vacua of maximal D = 7 supergravities
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity