Special Issue "Supersymmetry 2014"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (30 April 2015).

Special Issue Editor

Dr. Jonathan Bougie
E-Mail Website
Guest Editor
Department of Physics, Loyola University Chicago, 1032 W. Sheridan Rd., Chicago, IL 60660, USA
Interests: granular media; fluid dynamics; pattern formation; nonlinear dynamics; supersymmetric quantum mechanics and physics education

Special Issue Information

Dear Colleagues,

Manuscripts regarding supersymmetry and related fields are invited for this special issue of Symmetry. For decades, supersymmetry (SUSY) has provided an elegant candidate for physics beyond the standard model. However, experimental confirmation of supersymmetric models remains elusive, despite high hopes that many had placed, for example, in experiments conducted at the Large Hadron Collider (LHC). Therefore, the current moment can be seen as an interesting juncture for the study of SUSY. Additionally, supersymmetry has proven important beyond its application to particle physics; other important topics include supersymmetric quantum mechanics and mathematical studies of supersymmetry.

Dr. Jonathan Bougie
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • supersymmetry
  • SUSY
  • supersymmetric
  • particle physics
  • standard model
  • quantum mechanics
  • SUSYQM
  • algebra
  • group

Published Papers (8 papers)

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Research

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Article
An Extended Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
Symmetry 2015, 7(2), 1080-1121; https://doi.org/10.3390/sym7021080 - 16 Jun 2015
Cited by 1 | Viewed by 3057
Abstract
This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2 vector multiplet (VM) are embedded within. The central charges and internal symmetries [...] Read more.
This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2 vector multiplet (VM) are embedded within. The central charges and internal symmetries provide a plethora of information as to further symmetries of the Lagrangian. Several of these symmetries are calculated to second order. It is hoped that investigations such as these may yield avenues to help solve the auxiliary field closure problem for d = 4, N = 4, SUSY-YM and the d = 4, N = 2 Fayet-Hypermultiplet, without using an infinite number of auxiliary fields. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
Article
Supersymmetric Displaced Number States
Symmetry 2015, 7(2), 1017-1027; https://doi.org/10.3390/sym7021017 - 05 Jun 2015
Cited by 3 | Viewed by 2401
Abstract
We introduce, generate and study a family of supersymmetric displaced number states (SDNS) that can be considered generalized coherent states of the supersymmetric harmonic oscillator. The family is created from the seminal supersymmetric boson-fermion entangling annihilation operator introduced by Aragone and Zypman and [...] Read more.
We introduce, generate and study a family of supersymmetric displaced number states (SDNS) that can be considered generalized coherent states of the supersymmetric harmonic oscillator. The family is created from the seminal supersymmetric boson-fermion entangling annihilation operator introduced by Aragone and Zypman and later expanded by Kornbluth and Zypman. Using the momentum representation, the states are obtained analytically in compact form as displaced supersymmetric number states. We study their position-momentum uncertainties, and their bunchiness by classifying them according to their Mandel Q-parameter in phase space. We were also able to find closed form analytical representations in the space and number basis. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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Article
Sensitivity of High-Scale SUSY in Low Energy Hadronic FCNC
Symmetry 2015, 7(2), 689-713; https://doi.org/10.3390/sym7020689 - 21 May 2015
Viewed by 2529
Abstract
We discuss the sensitivity of the high-scale supersymmetry (SUSY) at \(10\)–\(1000\) TeV in \(B^0\), \(B_s\), \(K^0\) and \(D\) meson systems together with the neutron electric dipole moment (EDM) and the mercury EDM. In order to estimate the contribution of the squark flavor mixing [...] Read more.
We discuss the sensitivity of the high-scale supersymmetry (SUSY) at \(10\)–\(1000\) TeV in \(B^0\), \(B_s\), \(K^0\) and \(D\) meson systems together with the neutron electric dipole moment (EDM) and the mercury EDM. In order to estimate the contribution of the squark flavor mixing to these flavor changing neutral currents (FCNCs), we calculate the squark mass spectrum, which is consistent with the recent Higgs discovery. The SUSY contribution in \(\epsilon_K\) could be large, around \(40\%\) in the region of the SUSY scale \(10\)–\(100\) TeV. The neutron EDM and the mercury EDM are also sensitive to the SUSY contribution induced by the gluino-squark interaction. The predicted EDMs are roughly proportional to \(|\epsilon_K^{\rm SUSY}|\). If the SUSY contribution is the level of \({\cal O}(10\%)\) for \(\epsilon_K\), the neutron EDM is expected to be discovered in the region of \(10^{-28}\)–\(10^{-26}\) ecm. The mercury EDM also gives a strong constraint for the gluino-squark interaction. The SUSY contribution of \(\Delta M_D\) is also discussed. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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Article
Coupled SU(3)-Structures and Supersymmetry
Symmetry 2015, 7(2), 625-650; https://doi.org/10.3390/sym7020625 - 11 May 2015
Cited by 7 | Viewed by 2249
Abstract
We review coupled SU(3)-structures, also known in the literature as restricted half-flat structures, in relation to supersymmetry. In particular, we study special classes of examples admitting such structures and the behavior of flows of SU(3)-structures with respect to the coupled condition. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
Article
Confluent Supersymmetric Partners of Quantum Systems Emerging from the Spheroidal Equation
Symmetry 2015, 7(2), 412-426; https://doi.org/10.3390/sym7020412 - 22 Apr 2015
Cited by 4 | Viewed by 2414
Abstract
We construct confluent supersymmetric partners of quantum systems that emerge from the spheroidal equation. Properties of the systems and of their transformed counterparts are discussed. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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Article
126 GeV Higgs Boson Associated with D-term Triggered Dynamical Supersymmetry Breaking
Symmetry 2015, 7(1), 193-205; https://doi.org/10.3390/sym7010193 - 03 Mar 2015
Cited by 15 | Viewed by 2861
Abstract
Continuing with our previous work on \(D\)-term triggered dynamical supersymmetry breaking, , we consider a system in which our generic \({\cal N}=1\) action is minimally extended to include the pair of Higgs doublet superfields charged under the overall \(U(1)\) together with μ and [...] Read more.
Continuing with our previous work on \(D\)-term triggered dynamical supersymmetry breaking, , we consider a system in which our generic \({\cal N}=1\) action is minimally extended to include the pair of Higgs doublet superfields charged under the overall \(U(1)\) together with μ and Bμ terms. The gauge group is taken to be \(SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)\). We point out, among other things, that the Higgs mass less than the \(\textit{Z}\)-boson mass at tree level can be pushed up to be around 126 GeV by \(D\)-term contributions of the overall \(U(1)\). This is readily realized by taking a \(U(1)\) gauge coupling to be \({\cal O}(1)\). Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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Article
On General Off-Shell Representations of World Line (1D) Supersymmetry
Symmetry 2014, 6(1), 67-88; https://doi.org/10.3390/sym6010067 - 03 Feb 2014
Cited by 7 | Viewed by 3644
Abstract
Every finite-dimensional unitary representation of the N-extended world line supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying [...] Read more.
Every finite-dimensional unitary representation of the N-extended world line supersymmetry without central charges may be obtained by a sequence of differential transformations from a direct sum of minimal Adinkras, simple supermultiplets that are identifiable with representations of the Clifford algebra. The data specifying this procedure is a sequence of subspaces of the direct sum of Adinkras, which then opens an avenue for the classification of the continuum of the so-constructed off-shell supermultiplets. Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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Review

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Review
The Hunt for Supersymmetry at the Tevatron
Symmetry 2014, 6(1), 111-147; https://doi.org/10.3390/sym6010111 - 19 Mar 2014
Viewed by 3205
Abstract
During the Tevatron data-taking period from April 2001 to September 2011 (Run-II), several searches for supersymmetric particles were performed. The results from searches by the CDF and DØ collaborations are concisely reviewed. This includes results up to the summer conferences of 2013. Model-independent [...] Read more.
During the Tevatron data-taking period from April 2001 to September 2011 (Run-II), several searches for supersymmetric particles were performed. The results from searches by the CDF and DØ collaborations are concisely reviewed. This includes results up to the summer conferences of 2013. Model-independent and model-dependent limits on new particle production are set, and interpretations in supersymmetric models are given. Several limits from the Large Electron Positron (LEP) era have been extended. Specific results are placed into the context of the Tevatron performance expectations and a few of the current results from searches at the Large Hadron Collider (LHC). Full article
(This article belongs to the Special Issue Supersymmetry 2014)
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