Existence of a supersymmetric extension of the gauged nonlinear Σ model and the transition from integrability to chaos

Abstract

The nonlinear Σ model minimally coupled with Maxwell theory in 3 +1 dimensions possesses a topologically nontrivial sector characterized by lasagnalike 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 the existence of a (1+1)-dimensional supersymmetric extension with 𝒩 =2 supercharges. We examine its imprint on the time-dependent regime, with particular emphasis on the transition from integrability to chaos.