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arXiv · 1601.07986

A lower bound on the solutions of Kapustin-Witten equations

Teng Huang
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Abstract

In this article, we consider the Kapustin-Witten equations on a closed $4$-manifold. We study certain analytic properties of solutions to the equations on a closed manifold. The main result is that there exists an $L^{2}$-lower bound on the extra fields over a closed four-manifold satisfying certain conditions if the connections are not ASD connections. Furthermore, we also obtain a similar result about the Vafa-Witten equations.

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Teng Huang. 2016-09-23. A lower bound on the solutions of Kapustin-Witten equations. https://doi.org/10.1007/s11005-016-0910-2

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