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arXiv 0901.3885hep-thhep-ph
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$S^1\times R^3$的逆超对称破缺和动力学破缺

Inverse and Dynamical Supersymmetry Breaking in $S^1\times R^3$

V. K. Oikonomou

摘要:

本文研究了N=1,$d=4$超对称模型中硬超对称破缺项对$S^1\times R^3$时空拓扑的影响。研究发现,对于某些相互作用项和某些耦合值,超对称性在小长度的紧致半径下是不破缺的,并且随着半径的增加而动态地破缺。同样对于另一类相互作用项,当半径较大时,超对称性是未破缺的,并且随着半径的减小而动态地破缺。指出这两种现象与有限温度下的亚稳真空理论和有限温度下连续对称性的逆对称破缺(其中温度的作用由紧维的半径起)有相似之处。

英文摘要:

In this paper we study the influence of hard supersymmetry breaking terms in a N=1, $d=4$ supersymmetric model, in $S^1\times R^3$ spacetime topology. It is found that for some interaction terms and for certain values of the couplings, supersymmetry is unbroken for small lengths of the compact radius, and breaks dynamically as the radius increases. Also for another class of interaction terms, when the radius is large supersymmetry is unbroken and breaks dynamically as the radius decreases. It is pointed out that the two phenomena have similarities with the theory of metastable vacua at finite temperature and with the inverse symmetry breaking of continuous symmetries at finite temperature (where the role of the temperature is played by the compact dimension's radius).

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