Tachyons in a slice of AdS
arXiv:hep-th/0301151 · doi:10.1016/S0370-2693(03)00534-3
Abstract
Stability of AdS space allows scalar fields to have negative mass squared as long as the Breitenlohner-Freedman bound is satisfied. In a compactification of AdS instead, to avoid instabilities, a tachyonic bulk mass must be supplemented by appropriate brane actions. In this paper we clarify the meaning of the lower bound in the Randall-Sundrum scenario with two branes and explain how the instability disappears in the infinite space limit. A CFT interpretation is also given as radiative symmetry breaking.
7 pages, Latex2e, minor changes and ref. added, misprint fixed. Version to be published in Phys. Lett. B