Degeneracy and para-supersymmetry of Dirac Hamiltonian in (2+1)-space–time

DOI10.1063/1.532965zbMath0964.81054arXivhep-th/9904166OpenAlexW1983669346MaRDI QIDQ4270420

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Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9904166

zbMATH Keywords

Dirac's quantization condition\((2+1)\)-space-timeconstant magnetic field of a magnetic monopoledegeneracy group of \(SL(2,c)\)locally spatial constant curvature

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) General relativity (83C99) Supersymmetry and quantum mechanics (81Q60)

Related Items (3)

Non-Hermitian Dirac Hamiltonian in three-dimensional gravity and pseudosupersymmetry ⋮ Parasupersymmetry and \(\mathcal N\)-fold supersymmetry in quantum many-body systems. I: General formalism and second order ⋮ Two- and three-dimensional Hamiltonians with shape invariance symmetry

Cites Work

• Classical and quantum scattering on a cone
• The embedding of parasupersymmetry and dynamical symmetry into \(\text{GL}(2,\mathbb C)\) group
• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Field theory on a supersymmetric lattice
• Classical and quantum scattering on a spinning cone
• The Dirac operator on the fuzzy sphere

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