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Degenerate and Stable Yang-Mills-Higgs Pairs

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arxiv 1502.01791 v2 pith:B63IAPOK submitted 2015-02-06 math-ph math.DGmath.MP

Zhi Hu , Sen Hu This is my paper · ORCID
classification math-phmath.DGmath.MP
keywords pairyang-mills-higgsdegeneratehiggspairssomestablechern
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In this paper, we introduce some notions on the pair consisting of a Chern connection and a Higgs field closely related to the first and second variation of Yang-Mills- Higgs functional, such as strong Yang-Mills-Higgs pair, degenerate Yang-Mills-Higgs pair, stable Yang-Mills-Higgs pair. We investigate some properties of such pairs.

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