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math-phSep 21, 1999
11
citations (OpenAlex)
authors
  • M. Hassaïne
  • P. A. Horváthy
institutions
  • Université de Tours
arXiv abstractPDF
paper

The symmetries of the Manton superconductivity model

arXiv:math-ph/9909025 · doi:10.1016/S0393-0440(99)00066-2

Abstract

The symmetries and conserved quantities of Manton's modified superconductivity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quantized Hall Effect) are obtained in the ``Kaluza-Klein type'' framework of Duval et al.

24 pages, Plain TEX, no figures

References in corpus (4)

  • Celestial Mechanics, Conformal Structures, and Gravitational Waves
  • Conservation Laws in a First Order Dynamical System of Vortices
  • Strings in plane-fronted gravitational waves
  • Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect

Cited by in corpus (9)

  • Vortices in (abelian) Chern-Simons gauge theory
  • Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
  • Eisenhart lifts and symmetries of time-dependent systems
  • Newton-Hooke type symmetry of anisotropic oscillators
  • Kohn's theorem and Newton-Hooke symmetry for Hill's equations
  • Kohn's theorem and Galilean symmetry
  • Chiral decomposition in the non-commutative Landau problem
  • Kohn condition and exotic Newton-Hooke symmetry in the non-commutative Landau problem
  • Lectures on (abelian) Chern-Simons vortices
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