Variational Dual Solutions of Chern-Simons Theory
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917849233096704 |
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| author | Acharya, Amit Ginster, Janusz Sengupta, Ambar N. |
| author_facet | Acharya, Amit Ginster, Janusz Sengupta, Ambar N. |
| contents | A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional in appropriate function spaces to prove the existence of a minimizer, which constitutes a solution to the Euler-Lagrange equations of Chern-Simons theory in a relaxed sense. A geometric analysis is also made, especially for the gauge group SU(2), relating connection forms on the bundle to corresponding forms in the dual scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational Dual Solutions of Chern-Simons Theory Acharya, Amit Ginster, Janusz Sengupta, Ambar N. Mathematical Physics Analysis of PDEs A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for such a functional in appropriate function spaces to prove the existence of a minimizer, which constitutes a solution to the Euler-Lagrange equations of Chern-Simons theory in a relaxed sense. A geometric analysis is also made, especially for the gauge group SU(2), relating connection forms on the bundle to corresponding forms in the dual scheme. |
| title | Variational Dual Solutions of Chern-Simons Theory |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2411.17635 |