Special Issue "Supersymmetry"

Guest Editor
Dr. Giuseppe Policastro
Laboratoire de Physique Theorique, Ecole Normale Superieure, 24, rue Lhomond, 75005 Paris, France
Website: http://www.phys.ens.fr/~policast/
E-Mail: policast@lpt.ens.fr

Submission

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a 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 quarterly journal published by MDPI.

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Type of Paper: Article
Title: Supersymmetric Sigma Models and Geometry
Author: Ulf Lindström
Affiliation: Theoretical Physics, Department of Physics and Astronomy, Uppsala, Sweden; E-Mail: lindoulf@gmail.com
Abstract: I discuss the relation between the dimension, number of supersymmetries and target space geometry for sigma models. The presentation contains an introduction to sigma model geometry, (generalized) complex geometry and a survey of results in complex geometry obtained using sigma models as probes. Examples are: the generalized kähler potential, new formulations of generalized geometry, extensions of the Monge-Ampere equation and more.

Type of Paper: Review
Title: Supersymmetric Extensions of Non-relativistic Scaling Algebras
Authors: Makoto Sakaguchi and Kentaroh Yoshida
Affiliation: Department of Physics, Kyoto University, Kyoto 606-8502, Japan; E-Mail: kyoshida@gauge.scphys.kyoto-u.ac.jp (K.Y.)
Abstract: In the recent study of AdS/CFT, gravity duals for non-relativistic field theories have been well studied, motivated by applications of string theory to condenced matter physics.  In this direction, supersymmetric extensions of non-relativistic scaling algebras played an important role. We give a review on non-relativistic superalgebras.

Title: On Supersymmetric Dirac Delta Interactions
Author: Juan Mateos Guilarte
Affiliation: Departamento de Fisica Fundamental and IUFFyM, Universidad de Salamanca, Spain; E-Mail: guilarte@usal.es
Abstract: In this paper we plan to construct N = 2 supersymmetric quantum mechanics around several congurations of delta potentials from one single delta to a Dirac "comb". We shall show how the building of supersymmetry on more than one delta potential requires the addition of non-square wells. The necessary modication of the scattering matrices with respect to the non SUSY case will be explained. In particular, much more paired bound states arise in the supersymmetric framework. We shall also study the supersymmetric generalization of the Yang dynamics governing N points moving on a line with delta interactions among them at coinciding points. The delicate balance between integrability and supersymmetry will be one of the our main concerns. We shall also explore the link between our simple models and other integrable models with one-degree of freedom, e.g., Posch-Teller potentials, or more degrees of freedom, e.g.,Calogero-Sutherland systems.

Type of Paper: Review
Title: The Hunt for Supersymmetry at the Tevatron
Author: Andre Sopczak
Affiliation: Lancaster University, Bailrigg,  Lancaster,  LA1 4YW, UK; E-Mail: andre.sopczak@cern.ch
Abstract: During the Tevatron Run-II data-taking period from April 2001 to September 2011 several searches for Supersymmetric particles have been performed. The results from these searches by the experiments CDF and D\O\ collaborations are concisely reviewed. Model-independent and model-dependent limits on Supersymmetric particle production are set and interpretations are given. Several limits from the LEP era have been extended. Specific results are placed into the context of the prospects at the LHC.

Type of Paper: Article
Title: Some New Aspects of Fractional Sypersymmetric Dark Energy
Author: El-Nabulsi Ahmad Rami
Affiliation: ¹ Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang, Sichuan 641112, China; E-Mail: nabulsiahmadrami@yahoo.fr
² College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112, China
Abstract: We study some new aspects of supersymmetric dark energy within the framework of the fractional cosmological approach. Many interesting consequences are explored and discussed in some details.

Type of Paper: Review
Title: Probing the Supersymmetry Breaking Sector by Cosmological Arguments
Author: Ioannis Dalianis
Affiliation: Physics Department, National Technical University of Athens; E-Mail: Ioannis.Dalianis@fuw.edu.pl
Abstract: We discuss the cosmological aspects of the supersymmetry breakdown. We manifest that general scenarios of gauge mediation that successfully describe the electroweak scale particle physics can give naturally a viable cosmology. We examine particular features of the hidden sectors, which are often accompanied by the R-symmetry, and we probe them cosmologically. Finally, we present the all important regulative role of the R-symmetry in the thermal production of gravitinos and discuss the dark matter abundance predicted in general and well motivated supersymmetry breaking models. We confront these cosmological constraints with the recent data from the Large Hadron Collider.

Type of Paper: Article
Title: Soliton and Similarity Solutions of N=2,4 Supersymmetric Equations
Authors: Laurent Delisle and Véronique Hussin
Affiliation: Department of Mathematics and Statistic, University of Montreal, Canada; E-Mail: delisle@DMS.UMontreal.CA
Abstract: We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg-de Vries (KdV) and modified KdV (mKdV) equations. We also introduce new solitons (virtual solitons) whose nonlinear interactions produce no phase shifts and give new representations of the T -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions.
Keywords: supersymmetric equations; solitons; Hirota bilinear formalism