Dimensional Enhancement via Supersymmetry

Details Dimensional Enhancement via Supersymmetry Dimensional Enhancement via Supersymmetry

2009-07-21

arxiv.org/abs/0907.3605v1

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, PDF LaTeX, 7 figures

Scientific paper

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.

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