Renormalized Yang-Mills Energy on Poincaré-Einstein Manifolds
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914947201499136 |
|---|---|
| author | Gover, A. R. Latini, E. Waldron, A. Zhang, Y. |
| author_facet | Gover, A. R. Latini, E. Waldron, A. Zhang, Y. |
| contents | We prove that the renormalized Yang-Mills energy on six dimensional Poincaré-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the corresponding anomaly boundary integrand in the seven dimensional renormalized Yang-Mills energy. Our methods rely on a generalization of the Chang-Qing-Yang method for computing renormalized volumes of Poincaré-Einstein manifolds, as well as known scattering theory results for Schrödinger operators with short range potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06995 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Renormalized Yang-Mills Energy on Poincaré-Einstein Manifolds Gover, A. R. Latini, E. Waldron, A. Zhang, Y. Differential Geometry 53C07, 30F45, 53C18, We prove that the renormalized Yang-Mills energy on six dimensional Poincaré-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the corresponding anomaly boundary integrand in the seven dimensional renormalized Yang-Mills energy. Our methods rely on a generalization of the Chang-Qing-Yang method for computing renormalized volumes of Poincaré-Einstein manifolds, as well as known scattering theory results for Schrödinger operators with short range potentials. |
| title | Renormalized Yang-Mills Energy on Poincaré-Einstein Manifolds |
| topic | Differential Geometry 53C07, 30F45, 53C18, |
| url | https://arxiv.org/abs/2409.06995 |