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It is well known that tachyonic vacua in an asymptotically Anti-de Sitter(AdS) space-time are classically stable if the mass squared is at or above theBreitenlohner and Freedman (BF) bound. We study the quantum stability of thesetachyonic vacua in terms of instantons. We find a series of exact instantonsolutions destabilizing tachyonic state at or above the BF bound inasymptotically AdS space. We also give an analytic formula for the decay rateand show that it is finite. Comparing our result with the well-known algebraiccondition for the stability, we discuss stability conditions of tachyonic vacuaat or above the BF bound.

Destabilizing Tachyonic Vacua at or above the BF Bound