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

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.

14 pages, no figures. Published version

References in corpus (4)

• Galilean Conformal Algebras and AdS/CFT
• Non-relativistic conformal symmetries and Newton-Cartan structures
• On AdS/CFT of Galilean Conformal Field Theories
• Dynamal (super)symmetries of monopoles and vortices

Cited by in corpus (5)

• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-graded Lie Symmetries of the Lévy-Leblond Equations
• Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations
• Superfield approach to higher derivative N=1 superconformal mechanics
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra
• Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations