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

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Abstract

The list of six previously known nontrivial stationary points in the scalar potential of \( \mathcal{N} = 8 \), 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) × U(1). While the approximate numerical data are somewhat inconclusive, there is evidence that one of these may have a residual \( \mathcal{N} = 1 \) supersymmetry, hence correspond to a stable vacuum. It must be pointed out that this list of new solutions most likely is not exhaustive.

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  1. University of Southampton, School of Engineering Sciences, Highfield Campus, University Road, SO17 1BJ, Southampton, United Kingdom

    Thomas Fischbacher

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ArXiv ePrint: 0912.1636

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Fischbacher, T. Fourteen new stationary points in the scalar potential of SO(8)-gauged \( \mathcal{N} = 8 \), D = 4 supergravity. J. High Energ. Phys. 2010, 68 (2010). https://doi.org/10.1007/JHEP09(2010)068

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