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arXiv · 2609.34958

Another sharp criterion for Dirac zero modes

Guofang Wang·Mingwei Zhang
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Abstract

We resolve an open problem posed by Frank--Loss. Let $n\ge 3$ and let $φ\in L^p(\mathbb{S}^n)$, with $\frac{n}{n-1} 0 \Bigg\}, \end{equation*} and we obtain the following universal estimate \begin{equation*} \mathfrak{a}_n > \frac{n(n-2)}{4(n^2-3n+1)}, \end{equation*} which is enough for our aim. Determining the exact value of $\mathfrak{a}_n$ remains open.

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Guofang Wang, Mingwei Zhang. 2026-09-28. Another sharp criterion for Dirac zero modes. https://arxiv.org/abs/2609.34958

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