231 citations · 2k across the 107 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
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-ph2022★ 8 cited
Nineteen vortex equations and integrability
Sven Bjarke Gudnason
The class of five integrable vortex equations discussed recently by Manton is extended so it includes the relativistic BPS Chern-Simons vortices, yielding a total of nineteen vorte…
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…