  We study the Cauchy problem of the defocusing energy-critical stochastic
nonlinear Schr\"odinger equation (SNLS) on the three dimensional torus, forced
by an additive noise. We adapt the atomic spaces framework in the context of
the energy-critical nonlinear Schr\"odinger equation, and employ probabilistic
perturbation arguments in the context of stochastic PDEs, establishing the
global well-posedness of the defocusing energy-critical quintic SNLS in
$H^1(\mathbb{T}^3)$.
