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319 KiB

Open AccessArticle

An Extended Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets

by Sylvester James Gates, Jr., James Parker, Vincent G. J. Rodgers, Leo Rodriguez and Kory Stiffler

Symmetry 2015, 7(2), 1080-1121; https://doi.org/10.3390/sym7021080 - 16 Jun 2015

Cited by 2 | Viewed by 5960

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)

3236 KiB

Open AccessArticle

Supersymmetric Displaced Number States

by Fredy R. Zypman

Symmetry 2015, 7(2), 1017-1027; https://doi.org/10.3390/sym7021017 - 5 Jun 2015

Cited by 5 | Viewed by 4725

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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627 KiB

Open AccessArticle

Sensitivity of High-Scale SUSY in Low Energy Hadronic FCNC

by Morimitsu Tanimoto and Kei Yamamoto

Symmetry 2015, 7(2), 689-713; https://doi.org/10.3390/sym7020689 - 21 May 2015

Viewed by 4997

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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293 KiB

Open AccessArticle

Coupled SU(3)-Structures and Supersymmetry

by Anna Fino and Alberto Raffero

Symmetry 2015, 7(2), 625-650; https://doi.org/10.3390/sym7020625 - 11 May 2015

Cited by 9 | Viewed by 4675

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)

293 KiB

Open AccessArticle

Confluent Supersymmetric Partners of Quantum Systems Emerging from the Spheroidal Equation

by Axel Schulze-Halberg and Jie Wang

Symmetry 2015, 7(2), 412-426; https://doi.org/10.3390/sym7020412 - 22 Apr 2015

Cited by 4 | Viewed by 5025

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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247 KiB

Open AccessArticle

126 GeV Higgs Boson Associated with D-term Triggered Dynamical Supersymmetry Breaking

by Hiroshi Itoyama and Nobuhito Maru

Symmetry 2015, 7(1), 193-205; https://doi.org/10.3390/sym7010193 - 3 Mar 2015

Cited by 17 | Viewed by 5357

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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1193 KiB

Open AccessArticle

On General Off-Shell Representations of World Line (1D) Supersymmetry

by Charles F. Doran, Tristan Hübsch, Kevin M. Iga and Gregory D. Landweber

Symmetry 2014, 6(1), 67-88; https://doi.org/10.3390/sym6010067 - 3 Feb 2014

Cited by 7 | Viewed by 6563

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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2372 KiB

Open AccessReview

The Hunt for Supersymmetry at the Tevatron

by André Sopczak

Symmetry 2014, 6(1), 111-147; https://doi.org/10.3390/sym6010111 - 19 Mar 2014

Viewed by 5939

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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