vix.ing · top · new · best · stats · spec

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

2024/11/06 by Fabrizio Canfora, Nicolás Grandi, Canfora, Fabrizio +3
Physics and Astronomy · #hep-th

paper · pdf · doi:10.48550/arxiv.2411.04245

published as Phys. Rev. D 111, 114026, 2025 · 34 pages, 2 figures. Presentation improved and title changed according to referee suggestions. Replaced by revised version, to be published in Phis. Rev. D

arxiv created 2025/06/19 · arxiv updated 2026/07/30

Abstract

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 N=2 supercharges. We examine the supersymmetric imprint on the time-dependent regime, with particular emphasis on the transition from integrability to chaos.

Related