平面Dirac-Jackiw-Templeton系统的超对称性及其非相对论极限
Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit
摘要：
将平面Dirac场和拓扑质量矢量规范场统一为一个不含辅助场的超多重态。超庞加莱对称性来自于$osp(1|2)$超对称性，该超对称性是以变形的海森堡代数为基础的。非相对论极限产生自旋1/2以及新的自旋1“列维-勒布隆德型”方程，它们一起携带N=2的超薛定谔对称性。后者的一部分起源于超庞加莱代数的普遍包络代数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
