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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…