Magnetic zero-modes, vortices and Cartan geometry

DOI10.1007/S11005-017-1023-2zbMath1393.58023arXiv1705.09632OpenAlexW3138655567WikidataQ52335067 ScholiaQ52335067MaRDI QIDQ1744103

Bernd J. Schroers, Calum Ross

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1705.09632

zbMATH Keywords

Dirac operatorHopf fibrationvortex equationsCartan geometrymagnetic zero-modes

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05) Fiber spaces and bundles in algebraic topology (55R99)

Related Items (4)

Which magnetic fields support a zero mode? ⋮ Cartan connections and integrable vortex equations ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ Hyperbolic vortices and Dirac fields in 2+1 dimensions

Cites Work

• Unnamed Item
• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
• Vortices as degenerate metrics
• Non-L2 solutions to the Seiberg–Witten equations
• Spectral properties of Schwarzschild instantons
• Five vortex equations
• THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ³
• Topological Solitons
• Vortex solutions of the Popov equations
• Fermion zero modes in odd dimensions
• Manton’s five vortex equations from self-duality
• Hopf instantons and the Liouville equation in target space.

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