# The Fate of Nearly Supersymmetric Vacua - High Energy Physics - Theory

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Abstract: Supersymmetric vacua are stable. It is interesting to ask: how long-lived arevacua which are nearly supersymmetric? This question is relevant if ouruniverse is approximately supersymmetric. It is also of importance for a numberof issues of the physics of the landscape and eternal inflation. In this note,we distinguish a variety of cases. In all of them the decay is slow. For a flatspace theory decaying to a deep AdS vacuum, the leading behavior of the decayamplitude, if a thin wall approximation is valid, is ${\cal A} = \gamma e^{-2\pi^2-{ m Re} m {3-2}^2}$ where the phase of $m {3-2}$ is defined in thetext for ${ m Re} m {3-2}>0$, and zero otherwise. Metastable supersymmetrybreaking generally yields parametrically more rapid decays. For nearlysupersymmetric decays, we will see that it is necessary to compute subleadingterms in the exponential to extraordinarily high accuracy before one canmeaningfully discuss the prefactor.

Autor: Michael Dine, Guido Festuccia, Alexander Morisse

Fuente: https://arxiv.org/