Degenerate and Stable Yang-Mills-Higgs Pairs
Zhi Hu, Sen Hu
TL;DR
This paper introduces new notions of Yang-Mills-Higgs pairs related to the Yang-Mills-Higgs functional's variations, exploring their properties and stability conditions.
Contribution
It defines and studies the properties of degenerate and stable Yang-Mills-Higgs pairs, advancing understanding of their geometric and analytical aspects.
Findings
Defined strong, degenerate, and stable Yang-Mills-Higgs pairs.
Analyzed properties and stability conditions of these pairs.
Connected pair variations to the Yang-Mills-Higgs functional.
Abstract
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory