Existence of a supersymmetric extension of the gauged non-linear $Σ$-model and the transition from integrability to chaos
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913902396178432 |
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| author | Canfora, Fabrizio Grandi, Nicolás Oyarzo, Marcelo |
| author_facet | Canfora, Fabrizio Grandi, Nicolás Oyarzo, Marcelo |
| contents | The non-linear $Σ$-Model minimally coupled with Maxwell theory in $3+1$ dimensions possesses a topologically non-trivial sector characterized by ``lasagna''-like configurations. We demonstrate that, when a specific quantization condition is met, the associated second-order field equations admit a first-order Bogomol'nyi-Prasad-Sommerfield system. This discloses a hidden $(1+1)$-dimensional supersymmetry with $\mathcal{N}=2$ supercharges. We examine the supersymmetric imprint on the time-dependent regime, with particular emphasis on the transition from integrability to chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04245 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of a supersymmetric extension of the gauged non-linear $Σ$-model and the transition from integrability to chaos Canfora, Fabrizio Grandi, Nicolás Oyarzo, Marcelo High Energy Physics - Theory The non-linear $Σ$-Model minimally coupled with Maxwell theory in $3+1$ dimensions possesses a topologically non-trivial sector characterized by ``lasagna''-like configurations. We demonstrate that, when a specific quantization condition is met, the associated second-order field equations admit a first-order Bogomol'nyi-Prasad-Sommerfield system. This discloses a hidden $(1+1)$-dimensional supersymmetry with $\mathcal{N}=2$ supercharges. We examine the supersymmetric imprint on the time-dependent regime, with particular emphasis on the transition from integrability to chaos. |
| title | Existence of a supersymmetric extension of the gauged non-linear $Σ$-model and the transition from integrability to chaos |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.04245 |