Dimensional Enhancement via Supersymmetry
Abstract
We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describe "shadows" of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can "enhance" to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of "phantoms" which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.
Cite
@article{arxiv.0907.3605,
title = {Dimensional Enhancement via Supersymmetry},
author = {M. G. Faux and K. M. Iga and G. D. Landweber},
journal= {arXiv preprint arXiv:0907.3605},
year = {2009}
}
Comments
54 pages, PDF LaTeX, 7 figures