3 papers
math.DG2025
The quantitative behavior of -Yang-Mills-Higgs fields on surfaces
Wanjun Ai, Jiayu Li, Miaomiao Zhu
We investigate the blow-up behavior of -Yang--Mills--Higgs (-YMH) fields over closed Riemannian surfaces with the target fiber being the ro…
math.AP2024
Variational aspects of the generalized Seiberg-Witten functional
Wanjun Ai, Shuhan Jiang, Jürgen Jost
In this paper, as a step towards a unified mathematical treatment of the gauge functionals from quantum field theory that have found profound applications in mathematics, we genera…
math.AP2018
Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds
Wanjun Ai, Miaomiao Zhu
We show the smoothness of weakly Dirac-harmonic maps from a closed spin Riemann surface into stationary Lorentzian manifolds, and obtain a regularity theorem for a class of critica…