The Kähler potential of Abelian Higgs vortices

DOI10.1063/1.1874334zbMath1110.58013arXivhep-th/0407011OpenAlexW3104191742MaRDI QIDQ3438401

Heng-Yu Chen, Nicholas S. Manton

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0407011

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Geometric prequantization of the moduli space of the vortex equations on a Riemann surface, Vortex motion on surfaces of small curvature, Cosmic strings arising in a self-dual Abelian Higgs model, Five vortex equations, The Berry connection of the Ginzburg-Landau vortices, Erratum: “Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” [J. Math. Phys. 47, 103501 (2006)], Moduli Space of Non-Abelian Vortices, Exact moduli space metrics for hyperbolic vortex polygons, Nineteen vortex equations and integrability

Cites Work

• A remark on the scattering of BPS monopoles.
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• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• Polyakov conjecture for hyperbolic singularities
• Asymptotic interactions of critically coupled vortices
• Quantum Chern–Simons vortices on a sphere
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• Low-velocity scattering of vortices in a modified Abelian Higgs model
• Conservation laws in a first-order dynamical system of vortices
• Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on ℳ_{0,𝓃}
• Topological Solitons
• Proof of Polyakov conjecture for general elliptic singularities