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math-ph2024
Cohomological field theories and generalized Seiberg-Witten equations
Shuhan Jiang, Jürgen Jost
We introduce a formalism for constructing cohomological field theories (CohFT) out of nonlinear PDEs based on the first author's previous work (arXiv:2202.12425). We apply the form…
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…