  We investigate the finite temperature critical dynamics of three-dimensional
superconductors in the charged regime, described by a transverse gauge field
coupling to the superconducting order parameter. Assuming relaxational dynamics
for both the order parameter and the gauge fields, within a dynamical
renormalization group scheme, we find a new dynamic universality class
characterized by a finite fixed point ratio between the transport co-efficients
associated with the order parameter and gauge fields, respectively. We find
signatures of this universality class in various measurable physical
quantities, and in the existence of a universal amplitude ratio formed by a
combination of physical quantities.
