Kink Confinement and Supersymmetry

TL;DR

This paper investigates how kink confinement and phase transitions occur in two-dimensional supersymmetric quantum field theories, revealing different critical behaviors and supersymmetry breaking phenomena.

Contribution

It provides a detailed analysis of non-integrable deformations in supersymmetric models, highlighting the nature of phase transitions and supersymmetry breaking in the multi-frequency Super Sine Gordon model.

Findings

Kink confinement phenomena are robust at weak coupling in supersymmetric models.

The model exhibits two classes of phase transitions with distinct critical behaviors.

Metastable vacua with spontaneous supersymmetry breaking occur near tricritical points.

Abstract

We analyze non-integrable deformations of two-dimensional N=1 supersymmetric quantum field theories with kink excitations. As example, we consider the multi-frequency Super Sine Gordon model. At weak coupling, this model is robust with respect to kink confinement phenomena, in contrast to the purely bosonic case. If we vary the coupling, the model presents a sequence of phase transitions, where pairs of kinks disappear from the spectrum. The phase transitions fall into two classes: the first presents the critical behaviors of the Tricritical Ising model, the second instead those of the gaussian model. In the first case, close to the critical point, the model has metastable vacua, with a spontaneously supersymmetry breaking. When the life-time of the metastable vacua is sufficiently long, the role of goldstino is given by the massless Majorana fermion of the Ising model. On the contrary, supersymmetry remains exact in the phase transition of the second type.