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

Fabrizio Canfora*

Nicolás Grandi†

Marcelo Oyarzo‡

  • *Contact author: fabrizio.canfora@uss.cl
  • †Contact author: grandi@fisica.unlp.edu.ar
  • ‡Contact author: moyarzo2016@udec.cl
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Phys. Rev. D 111, 114026 – Published 23 June, 2025

DOI: https://doi.org/10.1103/mqc2-rzwb

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.

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Phys. Rev. D 111, 114026– Published 23 June, 2025
  • Received 13 January 2025
  • Accepted 6 June 2025
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