The existence of topological solutions to the Chern-Simons model on lattice graphs
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908891653079040 |
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| author | Hua, Bobo Huang, Genggeng Wang, Jiaxuan |
| author_facet | Hua, Bobo Huang, Genggeng Wang, Jiaxuan |
| contents | We prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Z^n for n>1. This extends the results in Huang, Lin and Yau [HLY20] from finite graphs to lattice graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_13905 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The existence of topological solutions to the Chern-Simons model on lattice graphs Hua, Bobo Huang, Genggeng Wang, Jiaxuan Mathematical Physics Analysis of PDEs We prove the existence of topological solutions to the self-dual Chern-Simons model and the Abelian Higgs system on the lattice graphs Z^n for n>1. This extends the results in Huang, Lin and Yau [HLY20] from finite graphs to lattice graphs. |
| title | The existence of topological solutions to the Chern-Simons model on lattice graphs |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2310.13905 |