Degenerate, strong and stable Yang–Mills–Higgs pairs¶
Hu, Z., & Huang, P. (2017). Degenerate, strong and stable Yang–Mills–Higgs pairs. Journal of Geometry and Physics.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Stable Yang–Mills–Higgs Pair
- “Strong” there imposes particular differential equations on a Hitchin pair; “stable” concerns a second-variation quadratic form along admitted deformations
This sourceTheir own terminology: ‘strong’ is defined by differential equations imposed on a Hitchin pair, ‘stable’ by the sign of a quadratic form obtained from the second variation along admitted deformations. Their setting: a Chern connection and Higgs field on a compact Kähler manifold, with the Yang–Mills–Higgs functional built from the curvature of the Hitchin–Simpson connection. Their Definition 3.3: a strong Yang–Mills–Higgs pair counts as stable when the Hermitian form from the second variation is positive on every admitted holomorphic deformation pair.
- “Strong” there imposes particular differential equations on a Hitchin pair; “stable” concerns a second-variation quadratic form along admitted deformations
Verification¶
This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.
Registry ID ref:a7c816afb987 · see in the full table