Hyperbolic vortices and Dirac fields in 2+1 dimensions

DOI10.1088/1751-8121/aac597zbMath1396.81087arXiv1803.11120OpenAlexW2794592115WikidataQ129805625 ScholiaQ129805625MaRDI QIDQ4685005

Calum Ross, Bernd J. Schroers

Publication date: 4 October 2018

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

Full work available at URL: https://arxiv.org/abs/1803.11120

zbMATH Keywords

Dirac operatorCartan geometryhyperbolic vortex

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (1)

Cartan connections and integrable vortex equations

Cites Work

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• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
• Magnetic zero-modes, vortices and Cartan geometry
• Vortices as degenerate metrics
• Five vortex equations
• Vortices on hyperbolic surfaces
• Topological Solitons
• Vortex solutions of the Popov equations
• Analytic vortex solutions on compact hyperbolic surfaces
• Manton’s five vortex equations from self-duality
• Hopf instantons and the Liouville equation in target space.

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