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math-ph2026
Cartan connections for an infinite family of integrable vortices
Sven Bjarke Gudnason, Calum Ross
An infinite family of integrable vortex equations is studied and related to the Cartan geometry of the underlying Riemann surfaces. This Cartan picture gives an interpretation of t…
math-ph2021★ 5 cited
Cartan Connections and Integrable Vortex Equations
Calum Ross
We demonstrate that integrable abelian vortex equations on constant curvature Riemann surfaces can be reinterpreted as flat non-abelian Cartan connections. By lifting to three dime…
math-ph2021★ 8 cited
Magnetic Impurities, Integrable Vortices and the Toda Equation
Sven Bjarke Gudnason, Calum Ross
The five integrable vortex equations, recently studied by Manton, are generalized to include magnetic impurities of the Tong-Wong type. Under certain conditions these generalizatio…