no code implementations • 9 Mar 2021 • Ákos Nagy, Gonçalo Oliveira
We prove the existence of novel, nonminimal and irreducible solutions to the (self-dual) Ginzburg-Landau equations on closed surfaces.
Differential Geometry Mathematical Physics Analysis of PDEs Mathematical Physics 35Q56, 53C07, 58E15
no code implementations • 2 Feb 2021 • Benoit Charbonneau, Anuk Dayaprema, C. J. Lang, Ákos Nagy, Haoyang Yu
We study solutions to Nahm's equations with continuous symmetries and, under certain (mild) hypotheses, we classify the corresponding Ans\"atze.
Mathematical Physics High Energy Physics - Theory Differential Geometry Mathematical Physics 35F50, 53C07, 70S15