Upperbound on squark masses in gauge-mediation model with light gravitino

We examine stabilities of our supersymmetry-breaking false vacuum in a low-energy direct gauge mediation model of SUSY breaking. The stability required in the high-temperature early universe leads to upperbounds on masses of squarks and gluino as mq˜≲1TeV and mg˜≲1TeV for the light gravitino of mass m3/2≲16eV.