  The catalysis of nuclear reactions by negatively charged relics leads to
increased outputs of primordial ^6Li and ^9Be. In combination with
observational constraints on the primordial fractions of ^6Li and ^9Be, this
imposes strong restrictions on the primordial abundance and the lifetime of
charged relics. We analyze the constraints from the catalysis of ^9Be on
supersymmetric models in which the gravitino is the lightest supersymmetric
particle and a charged slepton--such as the lighter stau--the next-to-lightest
supersymmetric particle (NLSP). Barring the special cases in which the
primordial fraction of the slepton NLSP is significantly depleted, we find that
the ^9Be data require a slepton NLSP lifetime of less than 6x10^3 seconds. We
also address the issue of the catalytic destruction of ^6Li and ^9Be by late
forming bound states of protons with negatively charged relics finding that it
does not lead to any significant modification of the limit on the slepton
lifetime.
