A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations

In this short note, we present a construction for the log–log blow up solutions to focusing mass-critical stochastic nonlinear Schrodinger equations with multiplicative noises. The solution is understood in the sense of controlled rough path as in Su and Zhang (Minimal mass blow-up solutions to rough nonlinear Schrodinger equations, arXiv:2002.09659 , 2020).