Closed String Tachyons on AdS Orbifolds and Dual Yang-Mills Instantons

Understand

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.