Equivariant Connections and their applications to Yang-Mills equations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917687402168320 |
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| author | Maîtrejean, Driss |
| author_facet | Maîtrejean, Driss |
| contents | We reduce Yang-Mills equations for $SO^+(p,q)$, $Spin^+(p,q)$ and $SU(n)$ bundles, with constant and isotropic metrics, by developing the concept of $SO^+(p,q)$-equivariance. This allows us to model the electroweak interaction and $SO^+(p,q)$ bundles with a non-linear second order differential equation as well as the weak and strong interaction with a non-linear wave equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant Connections and their applications to Yang-Mills equations Maîtrejean, Driss Mathematical Physics Differential Geometry 53C07 (Primary) 53C10, 35G20, 35G50 (Secondary) We reduce Yang-Mills equations for $SO^+(p,q)$, $Spin^+(p,q)$ and $SU(n)$ bundles, with constant and isotropic metrics, by developing the concept of $SO^+(p,q)$-equivariance. This allows us to model the electroweak interaction and $SO^+(p,q)$ bundles with a non-linear second order differential equation as well as the weak and strong interaction with a non-linear wave equation. |
| title | Equivariant Connections and their applications to Yang-Mills equations |
| topic | Mathematical Physics Differential Geometry 53C07 (Primary) 53C10, 35G20, 35G50 (Secondary) |
| url | https://arxiv.org/abs/2406.04171 |