A lower bound on the solutions of Kapustin-Witten equations
Differential Geometry
2016-12-21 v6 Mathematical Physics
math.MP
Abstract
In this article, we consider the Kapustin-Witten equations on a closed -manifold. We study certain analytic properties of solutions to the equations on a closed manifold. The main result is that there exists an -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.
Keywords
Cite
@article{arxiv.1601.07986,
title = {A lower bound on the solutions of Kapustin-Witten equations},
author = {Teng Huang},
journal= {arXiv preprint arXiv:1601.07986},
year = {2016}
}
Comments
Final version; to appear in Letters in Mathematical Physics. arXiv admin note: text overlap with arXiv:1409.1525, arXiv:1307.6447 by other authors