Se p 20 02 A note on CFT dual of RS model with gauge fields in bulk

It has been conjectured that the (weakly coupled) Randall-Sundrum (RS) model with gauge fields in bulk is dual to a (strongly coupled) 4D conformal field theory (CFT) with an UV cutoff and in which global symmetries of the CFT are gauged. We elucidate features of this dual CFT which are crucial for a complete understanding of the proposed duality. We argue that the limit of no (or small) brane-localized kinetic term for (bulk) gauge field on RS side (often studied in literature) is dual to no bare kinetic term for the gauge field which is coupled to the CFT global current. In this limit, in the CFT dual, the gauge field kinetic term is " induced " by CFT loops. Then, this CFT loop contribution to the gauge field 1PI two-point function is dual (on the RS side) to the full gauge propagator (i.e., including the contribution of Kaluza-Klein and zero-modes) with both external points on the Planck brane. We also emphasize that loop corrections to the gauge coupling on RS side are dual to sub-leading effects in a large-N expansion on CFT side; these sub-leading corrections to the gauge coupling in the dual CFT are (in general) sensitive to the strong dynamics of the CFT.