Research

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23 pages, 530 KiB

Open AccessFeature PaperArticle

Further Studies of the Supersymmetric NJL-Type Model for a Real Superfield Composite

by Yifan Cheng, Yan-Min Dai, Gaber Faisel and Otto C. W. Kong

Symmetry 2020, 12(11), 1818; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12111818 - 02 Nov 2020

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This is a sequel to our earlier paper presenting a supersymmetric Nambu–Jona–Lasinio (NJL)-type model for a real superfield composite. The model in the simplest version has only a chiral superfield (multiplet), with a strong four-superfield interaction in the Kähler potential that induces a [...] Read more.

This is a sequel to our earlier paper presenting a supersymmetric Nambu–Jona–Lasinio (NJL)-type model for a real superfield composite. The model in the simplest version has only a chiral superfield (multiplet), with a strong four-superfield interaction in the Kähler potential that induces a real two-superfield composite with vacuum condensate. The latter can have supersymmetry breaking parts, which we have shown to bear nontrivial solutions under a standard nonperturbative analysis for a Nambu–Jona–Lasinio-type model on a superfield setting. In this article, we generalize our earlier analysis by allowing a supersymmetric mass term for the chiral superfield, as well as possible

θ^{2}

components for the soft supersymmetry breaking part of the condensate. We present admissible nontrivial vacuum solutions and an analysis of the resulted low energy effective theory with components of the composite becoming dynamical. The determinant of the fermionic modes is shown to be zero, illustrating the presence of the expected Goldstino. Full article

(This article belongs to the Special Issue Modern Application of Symmetry Principles to High Energy Physics)

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16 pages, 415 KiB

Open AccessFeature PaperArticle

Supersymmetric NJL-Type Model for a Real Superfield Composite

by Yifan Cheng, Yan-Min Dai, Gaber Faisel and Otto C. W. Kong

Symmetry 2019, 11(12), 1507; https://0-doi-org.brum.beds.ac.uk/10.3390/sym11121507 - 11 Dec 2019

Cited by 1 | Viewed by 2222

Abstract

The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral [...] Read more.

The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral superfields has received much attention. Here, we propose a prototype model with a four-chiral-superfield interaction, giving a real superfield composite. It has a spin-one composite vector field with properties being somewhat similar to a massive gauge boson of spontaneously broken gauge symmetry. As such, it is like the first supersymmetric analog to non-supersymmetric models with spin-one composites. The key formulation developed here is the picture of quantum effective action as a superfield functional with parameters like constant superfields, having explicit supersymmetric and Grassmann number dependent supersymmetry breaking parts. Following the standard non-perturbative analysis for NJL-type models, the gap equation analysis shows plausible signature of dynamical supersymmetry breaking which is worth more serious analysis. With an extra superfield model Lagrangian included, comparison between the models and their non-supersymmetric counterparts is discussed, illustrating the notion of supersymmetrization is nontrivial in the setting. Full article

(This article belongs to the Special Issue Modern Application of Symmetry Principles to High Energy Physics)

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Review

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34 pages, 575 KiB

Open AccessReview

A Review of the Exceptional Supersymmetric Standard Model

by Stephen F. King, Stefano Moretti and Roman Nevzorov

Symmetry 2020, 12(4), 557; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12040557 - 04 Apr 2020

Cited by 14 | Viewed by 2290

Abstract

Local supersymmetry (SUSY) provides an attractive framework for the incorporation of gravity and unification of gauge interactions within Grand Unified Theories (GUTs). Its breakdown can lead to a variety of models with softly broken SUSY at low energies. In this review article, we [...] Read more.

Local supersymmetry (SUSY) provides an attractive framework for the incorporation of gravity and unification of gauge interactions within Grand Unified Theories (GUTs). Its breakdown can lead to a variety of models with softly broken SUSY at low energies. In this review article, we focus on the SUSY extension of the Standard Model (SM) with an extra

U {(1)}_{N}

gauge symmetry originating from a string-inspired

E_{6}

GUTs. Only in this

U (1)

extension of the minimal supersymmetric standard model (MSSM) can the right-handed neutrinos be superheavy, providing a mechanism for the baryon asymmetry generation. The particle content of this exceptional supersymmetric standard model (E

_{6}

SSM) includes three 27 representations of the

E_{6}

group, to ensure anomaly cancellation. In addition it also contains a pair of

S U {(2)}_{W}

doublets as required for the unification of gauge couplings. Thus, E

_{6}

SSM involves exotic matter beyond the MSSM. We consider symmetries that permit suppressing flavor changing processes and rapid proton decay, as well as gauge coupling unification, the gauge symmetry breaking and the spectrum of Higgs bosons in this model. The possible Large Hadron Collider (LHC) signatures caused by the presence of exotic states are also discussed. Full article

(This article belongs to the Special Issue Modern Application of Symmetry Principles to High Energy Physics)

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