Abstract

We investigate catalysis induced by a dyonic impurity in the metastable vacuum studied by Kachru, Pearson and Verlinde, which can be relevant to vacuum decay in the KKLT scenario. The impurity is a D3-brane wrapping on $ \mathbb{S}^3$ in the Klebanov-Strassler geometry. The effect of the D3-brane can be encoded in the world-volume theory of an NS5-brane as an electromagnetic field on it. As the field strength becomes large, instability of the vacuum enhances. As a result, the lifetime of the metastable vacuum becomes drastically shorter.

Highlights

  • Recent progress in string theories has revealed that there are a large number of metastable vacua

  • We investigate catalysis induced by a dyonic impurity in the metastable vacuum studied by Kachru, Pearson, and Verlinde, which can be relevant to vacuum decay in the Kachru-Kallosh-Linde-Trivedi scenario

  • Our goal is to examine the consequence of the D3-brane impurity and its catalytic effect in the KKLT scenario, for which we need to take into account nontrivial electromagnetic fields on the brane in the setup of Ref. [7], as we explain below

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Summary

INTRODUCTION

Recent progress in string theories has revealed that there are a large number of metastable vacua. We discuss a catalytic effect in this latter decay process due to an impurity in the KKLT setup. Effects in the four-dimensional spacetime and drastically simplify the analysis of the vacuum lifetime In this noncompact limit, the system is essentially the same as the model studied by Kachru, Pearson, and Verlinde (KPV) [7]. Because of the charges induced by these strings, the object looks like a dyon in the four-dimensional spacetime spanned by the NS5-brane This dyon is a soliton that has a purely stringy origin and has nothing to do with symmetry breaking.

REVIEW OF THE KLEBANOV-STRASSLER GEOMETRY
A DYONIC SOLUTION IN THE KPV METASTABLE VACUUM
NUMERICAL STUDY OF THE DECAY RATE
Thin-wall approximation
V 22 ðΨmin Þ
Bounce action
V 2 ðΨmin Þ2
V 22 ðΨÞ when
DISCUSSIONS AND CONCLUSIONS
Definitions
V2ðΨÞ2
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