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With Monte Carlo simulations, we investigate short-time critical dynamics ofthe three-dimensional anti-ferromagnetic Ising model with a globally conservedmagnetization $m_s$ (not the order parameter). From the power law behavior ofthe staggered magnetization (the order parameter), its second moment and theauto-correlation, we determine all static and dynamic critical exponents aswell as the critical temperature. The universality class of $m_s=0$ is the sameas that without a conserved quantity, but the universality class of non-zero$m_s$ is different.Comment: to appear in Phys. Rev.

Monte Carlo simulations of short-time critical dynamics with a conserved quantity