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arXiv · 1002.4729

Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit

Peter A. Horvathy·Mikhail S. Plyushchay·Mauricio Valenzuela
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Abstract

The planar Dirac and the topologically massive vector gauge fields are unified into a supermultiplet involving no auxiliary fields. The superPoincaré symmetry emerges from the $osp(1|2)$ supersymmetry realized in terms of the deformed Heisenberg algebra underlying the construction. The non-relativistic limit yields spin 1/2 as well as new, spin 1 "Lévy-Leblond-type" equations which, together, carry an N=2 superSchrödinger symmetry. Part of the latter has its origin in the universal enveloping algebra of the superPoincaré algebra.

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Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela. 2010-10-08. Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit. https://doi.org/10.1063/1.3478558

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