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Abelian gauge theory on Riemann surfaces and new topological invariants

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Publication:4946525
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DOI10.1098/rspa.2000.0532zbMath0978.53059OpenAlexW2071838936MaRDI QIDQ4946525

Yisong Yang, Robert J. Sibner, Lesley M. Sibner

Publication date: 28 August 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0532


zbMATH Keywords

complex line bundlevortexself-dualityTrudinger-Moser inequalityLeray-Schauder fixed-point theoremcharacteristic class


Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geometric quantization (53D50)


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Vortex equations in Abelian gauged \(\sigma\)-models ⋮ Topologically stratified energy minimizers in a product abelian field theory ⋮ Coexisting vortices and antivortices generated by dually gauged harmonic maps ⋮ The geometry of the space of BPS vortex-antivortex pairs ⋮ Prescribing zeros and poles on a compact Riemann surface for a gravitationally coupled Abelian gauge field theory



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