Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

Abstract

We describe the general class of $N$-extended $D=(2+1)$ Galilean supersymmetries obtained, respectively, from the $N$-extended D=3 Poincaré superalgebras with maximal sets of central charges. We confirm the consistency of supersymmetry with the presence of the `exotic' second central charge $\theta$. We show further how to introduce a N=2 Galilean superfield equation describing nonrelativistic spin 0 and spin 1/2 free particles.

arXiv commentLaTeX, 15 pages, version which appears in PLB

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Cited by in corpus (12)

• Newton-Cartan Supergravity
• Galilean Superconformal Symmetries
• Bosons, fermions and anyons in the plane, and supersymmetry
• Three-dimensional Maxwellian extended Bargmann supergravity
• Super-extended noncommutative Landau problem and conformal symmetry
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• The Non-Relativistic Superparticle in a Curved Background
• Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• D=4 Extended Galilei Superalgebras with Central Charges
• From $\mathcal{N}=4$ Galilean superparticle to three-dimensional non-relativistic $\mathcal{N}=4$ superfields
• Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry