This research demonstrates transversality in the perturbed Vafa-Witten moduli space for SU(2) and SO(3), indicating stability in solutions.
We consider a simple perturbation of the Vafa-Witten equations, and prove that for generic perturbation parameter, the full rank part of the perturbed Vafa-Witten moduli space satisfies transversality condition, when the structure group is $SU(2)$ or $SO(3)$.
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Dai et al. (2025) studied this question.
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