Anyon spin and the exotic central extension of the planar Galilei group

2000/03/17 by R. Jackiw, R Jackiw, V. P. Nair +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Anyon #Extension (predicate logic) #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications #Planar #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.1016/s0370-2693(00)00379-8

published as Phys.Lett. B480 (2000) 237-238 · LaTeX (revtex macros), 4 pages, references added

arxiv created 2000/03/17 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that the second central extension of the Galilei group in (2+1) dimensions corresponds to spin, which can be any real number.

Citations

• The projective unitary irreducible representations of the Galilei group in 1+2 dimensions

Cited by

• Spin-Orbit Coupling in Helical Waveguides: A Local Duality Perspective and Emergent Gauge Fields
• A note on broken dilatation symmetry in planar noncommutative theory
• (1 + 1) Newton–Hooke group for the simple and damped harmonic oscillator
• Galilei group with multiple central extension, vorticity, and entropy generation: Exotic fluid in 3+1 dimensions