This mathematical-physics paper relates auxiliary-field formulations that generate model families while preserving electromagnetic duality in four dimensions and classical integrability in two. It shows that formulations are governed by Legendre transforms of interaction functions plus field redefinitions, and extends a μ-frame to several sigma models.
Key findings
- Apparently different auxiliary-field descriptions can be mapped through suitable transformations of interaction functions and variables. In 2D, the new μ-frame accommodates several sigma-model families and extends known integrable deformations.
Why this matters globally
The correspondence may reduce duplication between duality and integrability communities and transfer tools across dimensions in quantum-field and string-related models.
Thai researcher contribution
A Chulalongkorn University-affiliated author joined an international theory team, linking Thai scholarship to high-energy and integrable-systems research.
Limitations to consider
The results are formal and model-dependent, with no experiment or numerical benchmark. Classical equivalence need not survive quantisation, and singularities, global topology and boundary conditions require model-specific analysis.