Final Year Project Report

Abstract

In the last years of this eighteen-year grant project, the research efforts have focused mostly on the study of off-shell representations of supersymmetry, both on the worldline and on the worldsheet, i.e., both in supersymmetric quantum mechanics and in supersymmetric field theory in 1+1-dimensional spacetime.During this period of time, Mr. Gregory A. Katona and Mr. Shawn Eastmond have been recruited to work on the project, contributing to their PhD dissertation work.Since the last report and within the budget period (06/01/2011-05/31/2013) covered by this report, the research under this grant included research work on the following topics: (1) off-shell supermultiplets of worldline N -supersymmetry [1,2,3], and (2) off-shell supermultiplets in higherdimensional spacetimes [4], and (3) algebraic structure of common theoretical models [5].