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arXiv · 0907.3605

Dimensional Enhancement via Supersymmetry

M. G. Faux·K. M. Iga·G. D. Landweber
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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.

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M. G. Faux, K. M. Iga, G. D. Landweber. 2009-07-21. Dimensional Enhancement via Supersymmetry. https://arxiv.org/abs/0907.3605

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