2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/22828The critical dynamics of superconductors is studied using renormalization group and duality arguments. We show that in extreme type II superconductors the dynamic critical exponent is given exactly by $z=3/2$. This result does not rely on the widely used models of critical dynamics. Instead, it is shown that $z=3/2$ follows from the duality between the extreme type II superconductor and a model with a critically fluctuating gauge field. Our result is in agreement with Monte Carlo simulations.7 pages, no figures; version accepted for publication in PRBSuperconductivityCritical dynamics, duality, and the exact dynamic exponent in extreme type II superconductorstext