TY - JOUR A2 - Zhang, Yao-Zhong AU - Faux, M. G. AU - Iga, K. M. AU - Landweber, G. D. PY - 2011 DA - 2011/10/03 TI - Dimensional Enhancement via Supersymmetry SP - 259089 VL - 2011 AB - We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theoryof 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 describes “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. SN - 1687-9120 UR - https://doi.org/10.1155/2011/259089 DO - 10.1155/2011/259089 JF - Advances in Mathematical Physics PB - Hindawi Publishing Corporation KW - ER -