Non-abelian vortices on $\mathbb {CP}^{1}$CP1 and Grassmannians

DOI10.1063/1.4798468zbMath1350.81022arXiv1211.1662OpenAlexW3105348426MaRDI QIDQ5397807

Norman A. Rink

Publication date: 24 February 2014

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

Full work available at URL: https://arxiv.org/abs/1211.1662

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Eta-invariants, Chern-Simons invariants (58J28) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vortices and Jacobian varieties
• Integrability of vortex equations on Riemann surfaces
• A remark on the scattering of BPS monopoles.
• Non-Abelian vortices on Riemann surfaces: An integrable case
• Non-Abelian vortices on compact Riemann surfaces
• Hyperkähler metrics and supersymmetry
• Vortex scattering
• Volume of vortex moduli spaces
• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• Nonabelian superconductors: vortices and confinement in \(N=2\) SQCD
• Moduli spaces of holomorphic triples over compact Riemann surfaces
• Stable triples, equivariant bundles and dimensional reduction
• Statistical mechanics of vortices
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Volume of Moduli Space of Vortex Equations and Localization
• Vortices on hyperbolic surfaces
• Quiver gauge theory of non-Abelian vortices and noncommutative instantons in higher dimensions
• A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
• DIMENSIONAL REDUCTION OF STABLE BUNDLES, VORTICES AND STABLE PAIRS
• Moduli space metrics for axially symmetric instantons
• Topological Solitons
• The dynamics of vortices on S2 near the Bradlow limit
• Exact moduli space metrics for hyperbolic vortex polygons
• Geometry and energy of non-Abelian vortices
• Lectures on symplectic geometry