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Symmetry 2010, 2(1), 366-387; doi:10.3390/sym2010366

Inverse Supersymmetry Breaking in S1 × R3

Theoretical Physics Department, Aristotle University of Thessaloniki, Thessaloniki 541 24, Thessaloniki, Greece
*
Technological Education Institute of Serres, 62124 Serres, Greece
Received: 5 October 2009 / Revised: 27 December 2009 / Accepted: 21 January 2010 / Published: 19 March 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
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Abstract

In this paper, we study the influence of hard supersymmetry breaking terms in a N = 1, d = 4 supersymmetric model, in S1 × R3 spacetime topology. It is shown that when the radius of the compact dimension is large supersymmetry is unbroken, and dynamically breaks as the radius decreases. We point out that this resembles the inverse symmetry breaking of continuous symmetries at finite temperature (however, in the case of supersymmetry, the role of the temperature is played by the compact dimension’s radius). Furthermore, we also find a universality in the dependence of the critical length Lc as a function of a coupling g3, after comparing all cases.
Keywords: Supersymmetry; Effective Potential; Symmetry Breaking Supersymmetry; Effective Potential; Symmetry Breaking
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Oikonomou, V. Inverse Supersymmetry Breaking in S1 × R3. Symmetry 2010, 2, 366-387.

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