摘要
<p>We study the condensation of localized closed string tachyons on AdS orbifolds both from the bulk and boundary theory viewpoints. We first extend the known results for AdS(5)/Z(k) to AdS(3)/Z(k) case, and we proposed that the AdS(3)/Z(k) decays into AdS(3)/Z(k ') with k ' < k. From the bulk viewpoint, we obtain a time-dependent gravity solution describing the decay of AdS orbifold numerically. From the dual gauge theory viewpoint, we calculated the Casimir energies of gauge theory vacua and it is found that their values are exactly the same as the masses of dual geometries, even though they are in different parameter regimes of 't Hooft coupling. We also consider AdS(5) orbifold. The decay of AdS(5)/Z(k) is dual to the transition between the dual gauge theory vacua on R-t x S-3/Z(k), parametrized by different holonomies along the orbifolded spatial cycle. We constructed the instanton solutions describing the transitions by making use of instanton solutions on R-t x S-2.</p>