Abstract: We discuss the current stability of a cosmic string with the bosonic superconductivity.
A non-vanishing curvature of the string generally induce the instability of the current-carrying particle.
We explore the decay rates for various types of model parameters, curved string shapes, and decay processes.
As a cosmological application, the stability is examined for superconducting strings in the string network and also for cosmic vortons by evaluating their cosmological evolution.
This work is based on the collaboration with Yu Hamada, Kota Saji, and Koichi Yoshioka, arXiv:2209.03223 [hep-ph].