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arXiv · 2411.04245

Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos

Fabrizio Canfora·Nicolás Grandi·Marcelo Oyarzo
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Abstract

The non-linear $\Sigma$-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.

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Fabrizio Canfora, Nicolás Grandi, Marcelo Oyarzo. 2024-11-06. Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos. https://doi.org/10.1103/mqc2-rzwb

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