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Symmetry 2015, 7(2), 1080-1121; doi:10.3390/sym7021080

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

1
Center for String and Particle Theory, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA
2
Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, USA
3
Department of Physics, Assumption College, Worcester, MA 01609, USA
4
Department of Chemistry, Physics, and Astronomy, Indiana University Northwest, Gary, IN 46408, USA
*
Authors to whom correspondence should be addressed.
Academic Editor: Jonathan Bougie
Received: 5 May 2015 / Accepted: 11 June 2015 / Published: 16 June 2015
(This article belongs to the Special Issue Supersymmetry 2014)
View Full-Text   |   Download PDF [319 KB, uploaded 16 June 2015]

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 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. View Full-Text
Keywords: supersymmetry; off-shell; ADS/CFT; Yang-Mills; extended supersymmetry; adinkra supersymmetry; off-shell; ADS/CFT; Yang-Mills; extended supersymmetry; adinkra
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Gates, S.J., Jr.; Parker, J.; Rodgers, V.G.J.; Rodriguez, L.; Stiffler, K. An Extended Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets. Symmetry 2015, 7, 1080-1121.

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