Twists of trigonometric sigma models

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New ℤ N-twisted trigonometric sigma models demonstrate unique symmetries and features in theoretical physics.

The twisting of models results in different symmetries while maintaining the same degrees of freedom.
Integrable deformations are derived from Chern-Simons theory, emphasizing algebra-valued fields and group-valued fields.
Two existing models are adapted to ℤ N-twisting, yielding four new doubly-deformed models through rigorous construction.
Branch cut features lead to novel characteristics that enhance understanding of integrability in theoretical frameworks.

Hamidi et al. (2025) studied this question.

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