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An Extended Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
Journal article   Open access   Peer reviewed

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

Sylvester Gates, James Parker, Vincent Rodgers, Leo Rodriguez and Kory Stiffler
Symmetry (Basel), Vol.7(2), pp.1080-1121
06/16/2015
DOI: 10.3390/sym7021080
url
https://doi.org/10.3390/sym7021080View
Published (Version of record) Open Access

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.

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