N=2 Supersymmetry with Central Charge: A Twofold Implementation

In this work, we analyze an extended N=2 supersymmetry with central charge and develop its superspace formulation under two distinct viewpoints. Initially, in the context of classical mechanics, we discuss the introduction of deformed supersymmetric derivatives and their consequence on the deformati...

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Main Authors: L. P. R. Ospedal, R. C. Terin
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2019/8604386
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author L. P. R. Ospedal
R. C. Terin
author_facet L. P. R. Ospedal
R. C. Terin
author_sort L. P. R. Ospedal
collection DOAJ
description In this work, we analyze an extended N=2 supersymmetry with central charge and develop its superspace formulation under two distinct viewpoints. Initially, in the context of classical mechanics, we discuss the introduction of deformed supersymmetric derivatives and their consequence on the deformation of one-dimensional nonlinear sigma model. After that, considering a field-theoretical framework, we present an implementation of this superalgebra in two dimensions, such that one of the coordinates is related to the central charge. As an application, in this two-dimensional scenario, we consider topological (bosonic) configurations of a special self-coupled matter model and present a nontrivial fermionic solution.
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series Advances in High Energy Physics
spelling doaj-art-d4b135fd14bc4c8abadd310d2fe34ba82025-08-20T02:20:00ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/86043868604386N=2 Supersymmetry with Central Charge: A Twofold ImplementationL. P. R. Ospedal0R. C. Terin1Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, Urca, Rio de Janeiro, CEP 22290-180, BrazilUniversidade do Estado do Rio de Janeiro (UERJ), Instituto de Física, Departamento de Física Teórica, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, CEP 20550-013, BrazilIn this work, we analyze an extended N=2 supersymmetry with central charge and develop its superspace formulation under two distinct viewpoints. Initially, in the context of classical mechanics, we discuss the introduction of deformed supersymmetric derivatives and their consequence on the deformation of one-dimensional nonlinear sigma model. After that, considering a field-theoretical framework, we present an implementation of this superalgebra in two dimensions, such that one of the coordinates is related to the central charge. As an application, in this two-dimensional scenario, we consider topological (bosonic) configurations of a special self-coupled matter model and present a nontrivial fermionic solution.http://dx.doi.org/10.1155/2019/8604386
spellingShingle L. P. R. Ospedal
R. C. Terin
N=2 Supersymmetry with Central Charge: A Twofold Implementation
Advances in High Energy Physics
title N=2 Supersymmetry with Central Charge: A Twofold Implementation
title_full N=2 Supersymmetry with Central Charge: A Twofold Implementation
title_fullStr N=2 Supersymmetry with Central Charge: A Twofold Implementation
title_full_unstemmed N=2 Supersymmetry with Central Charge: A Twofold Implementation
title_short N=2 Supersymmetry with Central Charge: A Twofold Implementation
title_sort n 2 supersymmetry with central charge a twofold implementation
url http://dx.doi.org/10.1155/2019/8604386
work_keys_str_mv AT lprospedal n2supersymmetrywithcentralchargeatwofoldimplementation
AT rcterin n2supersymmetrywithcentralchargeatwofoldimplementation