Linear differential equations for a fractional spin field

DOI10.1063/1.530727zbMath0814.35106arXivhep-th/9405193OpenAlexW2082747440MaRDI QIDQ4327287

Mikhail S. Plyushchay, José Luis Cortés

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9405193

zbMATH Keywords

anyonslocal gauge symmetryinfinite-dimensional half-bounded unitary representations

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Spinor and twistor methods applied to problems in quantum theory (81R25)

Related Items (10)

Three-dimensional fractional-spin gravity ⋮ Gravitational and gauge couplings in Chern-Simons fractional spin gravity ⋮ Nonrelativistic anyons in external electromagnetic field ⋮ Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane ⋮ Darboux transformations for orthogonal differential systems and differential Galois theory ⋮ Anyon wave equations and the noncommutative plane ⋮ 3D Higher spin gravity and the fractional quantum Hall effect ⋮ Deformed Heisenberg algebra with reflection ⋮ Fractional helicity, Lorentz symmetry breaking, compactification and anyons ⋮ \(P,T\)-invariant system of Chern-Simons fields: Pseudoclassical model and hidden symmetries

Cites Work

• Quantum field theory of anyons
• (Anti)commuting spinors and supersymmetric dynamics of semions.
• Irreducible unitary representations of the Lorentz group
• Particle statistics from induced representations of a local current group
• THE MODEL OF A FREE RELATIVISTIC PARTICLE WITH FRACTIONAL SPIN
• Majorana Representations of the Lorentz Group and Infinite-Component Fields

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